CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-available" lang="tl" dir="ltr"> <head> <meta charset="UTF-8"> <title>Bilang na Fibonacci - Wikipedia, ang malayang ensiklopedya</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-disabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )tlwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy" ,"wgMonthNames":["","Enero","Pebrero","Marso","Abril","Mayo","Hunyo","Hulyo","Agosto","Setyembre","Oktubre","Nobyembre","Disyembre"],"wgRequestId":"05c764a2-3746-4835-9453-7d97358a21ee","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Bilang_na_Fibonacci","wgTitle":"Bilang na Fibonacci","wgCurRevisionId":2089318,"wgRevisionId":2089318,"wgArticleId":167953,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Harv and Sfn no-target errors","Sangguniang CS1 sa wikang Ingles (en)","CS1 maint: date auto-translated","Pages using ISBN magic links","Stub (Matematika)","Mga lathalaing dapat palawigin","Mga sekwensiya"],"wgPageViewLanguage":"tl","wgPageContentLanguage":"tl","wgPageContentModel":"wikitext","wgRelevantPageName":"Bilang_na_Fibonacci","wgRelevantArticleId":167953,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[], "wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":true,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"tl","pageLanguageDir":"ltr","pageVariantFallbacks":"tl"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":5000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q47577","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false};RLSTATE={ "ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.cite.styles":"ready","ext.math.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","mediawiki.page.media","ext.scribunto.logs","site","mediawiki.page.ready","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns", "ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=tl&modules=ext.cite.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=tl&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=tl&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.4"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/d/db/34%2A21-FibonacciBlocks.png"> <meta property="og:image:width" content="1200"> <meta property="og:image:height" content="744"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/d/db/34%2A21-FibonacciBlocks.png"> <meta property="og:image:width" content="800"> <meta property="og:image:height" content="496"> <meta property="og:image" content="https://upload.wikimedia.org/wikipedia/commons/thumb/d/db/34%2A21-FibonacciBlocks.png/640px-34%2A21-FibonacciBlocks.png"> <meta property="og:image:width" content="640"> <meta property="og:image:height" content="397"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Bilang na Fibonacci - Wikipedia, ang malayang ensiklopedya"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//tl.m.wikipedia.org/wiki/Bilang_na_Fibonacci"> <link rel="alternate" type="application/x-wiki" title="Baguhin" href="/w/index.php?title=Bilang_na_Fibonacci&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (tl)"> <link rel="EditURI" type="application/rsd+xml" href="//tl.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://tl.wikipedia.org/wiki/Bilang_na_Fibonacci"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.tl"> <link rel="alternate" type="application/atom+xml" title="Atom feed ng Wikipedia" href="/w/index.php?title=Natatangi:Mga_huling_binago&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Bilang_na_Fibonacci rootpage-Bilang_na_Fibonacci skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Pumunta sa nilalaman</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Sayt"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Pangunahing pagpipilian" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Pangunahing pagpipilian</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Pangunahing pagpipilian</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">itago</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Maglibot </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Unang_Pahina" title="Puntahan ang unang pahina [z]" accesskey="z"><span>Unang pahina</span></a></li><li id="n-contents" class="mw-list-item"><a href="/wiki/Wikipedia:Tingnan_ang_buod" title="Mga gabay sa pagbabasa ng laktaw-laktaw sa Wikipedia"><span>Mga nilalaman</span></a></li><li id="n-Napiling-nilalaman" class="mw-list-item"><a href="/wiki/Wikipedia:Mga_napiling_artikulo"><span>Napiling nilalaman</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Natatangi:Alin_man" title="Magpalabas ng kahit-anong artikulo [x]" accesskey="x"><span>Alinmang artikulo</span></a></li><li id="n-aboutsite" class="mw-list-item"><a href="/wiki/Wikipedia:Patungkol"><span>Patungkol sa Wikipedia</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Wikipedia:Kasalukuyang_pangyayari" title="Hanapin ang mga impormasyon tungkol sa mga kamakailang kaganapan"><span>Mga kaganapan</span></a></li> </ul> </div> </div> <div id="p-Pakikihalubilo" class="vector-menu mw-portlet mw-portlet-Pakikihalubilo" > <div class="vector-menu-heading"> Pakikihalubilo </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Puntahan_ng_pamayanan" title="Tungkol sa proyekto, ano ang maari mong gawin, at kung saan maari maghanap ng mga bagay"><span>Pamayanan</span></a></li><li id="n-Kapihan" class="mw-list-item"><a href="/wiki/Wikipedia:Kapihan"><span>Kapihan</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Natatangi:Mga_huling_binago" title="Tala ng mga huling pagbabago sa wiki. [r]" accesskey="r"><span>Mga huling binago</span></a></li><li id="n-contactpage" class="mw-list-item"><a href="/wiki/Wikipedia:Makipag-ugnayan_sa_amin" title="Paano makokontak ang Wikipedia"><span>Makipag-ugnayan</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Wikipedia:Tulong" title="Ang lugar para maghanap ng tulong sa Wikipedia."><span>Tulong</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Unang_Pahina" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="Ang Malayang Ensiklopedya" src="/static/images/mobile/copyright/wikipedia-tagline-tl.svg" width="119" height="13" style="width: 7.4375em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Natatangi:Maghanap" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Maghanap sa Wikipedia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Hanapin</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Maghanap sa Wikipedia" aria-label="Maghanap sa Wikipedia" autocapitalize="sentences" title="Maghanap sa Wikipedia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Natatangi:Maghanap"> </div> <button class="cdx-button cdx-search-input__end-button">Hanapin</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Mga pansariling kagamitan"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Itsura"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Change the appearance of the page's font size, width, and color" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Itsura" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Itsura</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_tl.wikipedia.org&uselang=tl" class=""><span>Donasyon</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Natatangi:Likhain_ang_kuwenta&returnto=Bilang+na+Fibonacci" title="Mas maganda kung gagawa ka ng account at magla-login; gayunpaman, hindi ka pinipilit gawin ito" class=""><span>Gumawa ng account</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Natatangi:Paglagda_ng_tagagamit&returnto=Bilang+na+Fibonacci" title="Mas maganda kung magla-login ka; gayunpaman, hindi ka pinipilit gawin ito [o]" accesskey="o" class=""><span>Mag-login</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Marami pang pagpipilian" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Mga pansariling kagamitan" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Mga pansariling kagamitan</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_tl.wikipedia.org&uselang=tl"><span>Donasyon</span></a></li><li id="pt-contribute" class="mw-list-item"><a href="/wiki/Natatangi:Contribute"><span class="vector-icon mw-ui-icon-edit mw-ui-icon-wikimedia-edit"></span> <span>Mag-ambag</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Natatangi:Likhain_ang_kuwenta&returnto=Bilang+na+Fibonacci" title="Mas maganda kung gagawa ka ng account at magla-login; gayunpaman, hindi ka pinipilit gawin ito"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Gumawa ng account</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Natatangi:Paglagda_ng_tagagamit&returnto=Bilang+na+Fibonacci" title="Mas maganda kung magla-login ka; gayunpaman, hindi ka pinipilit gawin ito [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Mag-login</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Mga pahina para sa naka-logout na mga patnugot o editor <a href="/wiki/Wikipedia:Maligayang_pagdating!" aria-label="Alamin pa ang tungkol sa pagpapatnugot"><span>alamin pa</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Natatangi:Usapan_ko" title="Usapang tungkol sa mga pagbabagong ginawa sa ip address na ito [n]" accesskey="n"><span>Usapan</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Sayt"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Mga nilalaman" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Mga nilalaman</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">itago</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Simula</div> </a> </li> <li id="toc-Mga_sanggunian" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Mga_sanggunian"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Mga sanggunian</span> </div> </a> <ul id="toc-Mga_sanggunian-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Mga nilalaman" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Itago/Ipakita ang talaan ng mga nilalaman" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Itago/Ipakita ang talaan ng mga nilalaman</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Bilang na Fibonacci</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Pumunta sa isang artikulo na nakasulat sa ibang wika. Mayroon ito sa 63 (na) wika" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-63" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">63 wika</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar badge-Q70894304 mw-list-item" title=""><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D9%81%D9%8A%D8%A8%D9%88%D9%86%D8%A7%D8%AA%D8%B4%D9%8A" title="عدد فيبوناتشي – Arabic" lang="ar" hreflang="ar" data-title="عدد فيبوناتشي" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Fibona%C3%A7%C3%A7i_%C9%99d%C9%99dl%C9%99ri" title="Fibonaççi ədədləri – Azerbaijani" lang="az" hreflang="az" data-title="Fibonaççi ədədləri" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D0%B8_%D2%BB%D0%B0%D0%BD%D0%B4%D0%B0%D1%80%D1%8B" title="Фибоначчи һандары – Bashkir" lang="ba" hreflang="ba" data-title="Фибоначчи һандары" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9B%D1%96%D0%BA%D1%96_%D0%A4%D1%96%D0%B1%D0%B0%D0%BD%D0%B0%D1%87%D1%8B" title="Лікі Фібаначы – Belarusian" lang="be" hreflang="be" data-title="Лікі Фібаначы" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%B0_%D0%BD%D0%B0_%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D0%B8" title="Числа на Фибоначи – Bulgarian" lang="bg" hreflang="bg" data-title="Числа на Фибоначи" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Fibonaccijev_broj" title="Fibonaccijev broj – Bosnian" lang="bs" hreflang="bs" data-title="Fibonaccijev broj" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Nombre_de_Fibonacci" title="Nombre de Fibonacci – Catalan" lang="ca" hreflang="ca" data-title="Nombre de Fibonacci" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%98%D9%85%D8%A7%D8%B1%DB%95%DB%8C_%D9%81%DB%8C%D8%A8%DB%86%D9%86%D8%A7%DA%86%DB%8C" title="ژمارەی فیبۆناچی – Central Kurdish" lang="ckb" hreflang="ckb" data-title="ژمارەی فیبۆناچی" data-language-autonym="کوردی" data-language-local-name="Central Kurdish" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cu mw-list-item"><a href="https://cu.wikipedia.org/wiki/%D0%A4%D1%97%D0%B2%D0%BE%D0%BD%D0%B0%D0%BA%D1%97%D0%B8%D0%BD%D0%BE%D0%B2%D0%B8_%D1%87%D0%B8%D1%81%D0%BC%D1%94%D0%BD%D0%B0" title="Фївонакїинови чисмєна – Church Slavic" lang="cu" hreflang="cu" data-title="Фївонакїинови чисмєна" data-language-autonym="Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ" data-language-local-name="Church Slavic" class="interlanguage-link-target"><span>Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D0%B8_%D1%85%D0%B8%D1%81%D0%B5%D0%BF%C4%95" title="Фибоначчи хисепĕ – Chuvash" lang="cv" hreflang="cv" data-title="Фибоначчи хисепĕ" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Rhif_Fibonacci" title="Rhif Fibonacci – Welsh" lang="cy" hreflang="cy" data-title="Rhif Fibonacci" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Fibonacci-tal" title="Fibonacci-tal – Danish" lang="da" hreflang="da" data-title="Fibonacci-tal" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de badge-Q70894304 mw-list-item" title=""><a href="https://de.wikipedia.org/wiki/Fibonaccizahl" title="Fibonaccizahl – German" lang="de" hreflang="de" data-title="Fibonaccizahl" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en badge-Q70893996 mw-list-item" title=""><a href="https://en.wikipedia.org/wiki/Fibonacci_number" title="Fibonacci number – English" lang="en" hreflang="en" data-title="Fibonacci number" data-language-autonym="English" data-language-local-name="English" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Fibona%C4%89i-nombro" title="Fibonaĉi-nombro – Esperanto" lang="eo" hreflang="eo" data-title="Fibonaĉi-nombro" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es badge-Q70894304 mw-list-item" title=""><a href="https://es.wikipedia.org/wiki/N%C3%BAmero_de_Fibonacci" title="Número de Fibonacci – Spanish" lang="es" hreflang="es" data-title="Número de Fibonacci" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Fibonacci_jada" title="Fibonacci jada – Estonian" lang="et" hreflang="et" data-title="Fibonacci jada" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Fibonacciren_zenbakiak" title="Fibonacciren zenbakiak – Basque" lang="eu" hreflang="eu" data-title="Fibonacciren zenbakiak" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D8%B9%D8%AF%D8%A7%D8%AF_%D9%81%DB%8C%D8%A8%D9%88%D9%86%D8%A7%DA%86%DB%8C" title="اعداد فیبوناچی – Persian" lang="fa" hreflang="fa" data-title="اعداد فیبوناچی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Fibonacci_arv" title="Fibonacci arv – Võro" lang="vro" hreflang="vro" data-title="Fibonacci arv" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fr badge-Q70894304 mw-list-item" title=""><a href="https://fr.wikipedia.org/wiki/Nombre_de_Fibonacci" title="Nombre de Fibonacci – French" lang="fr" hreflang="fr" data-title="Nombre de Fibonacci" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%AB%E0%AA%BF%E0%AA%AC%E0%AB%8B%E0%AA%A8%E0%AA%BE%E0%AA%95%E0%AA%BF" title="ફિબોનાકિ – Gujarati" lang="gu" hreflang="gu" data-title="ફિબોનાકિ" data-language-autonym="ગુજરાતી" data-language-local-name="Gujarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-he badge-Q70893996 mw-list-item" title=""><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%A1%D7%A4%D7%A8_%D7%A4%D7%99%D7%91%D7%95%D7%A0%D7%90%D7%A6%27%D7%99" title="מספר פיבונאצ'י – Hebrew" lang="he" hreflang="he" data-title="מספר פיבונאצ'י" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B9%E0%A5%87%E0%A4%AE%E0%A4%9A%E0%A4%A8%E0%A5%8D%E0%A4%A6%E0%A5%8D%E0%A4%B0_%E0%A4%B6%E0%A5%8D%E0%A4%B0%E0%A5%87%E0%A4%A3%E0%A5%80" title="हेमचन्द्र श्रेणी – Hindi" lang="hi" hreflang="hi" data-title="हेमचन्द्र श्रेणी" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Fibonaccijev_broj" title="Fibonaccijev broj – Croatian" lang="hr" hreflang="hr" data-title="Fibonaccijev broj" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Fibonacci-sz%C3%A1mok" title="Fibonacci-számok – Hungarian" lang="hu" hreflang="hu" data-title="Fibonacci-számok" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy badge-Q70893996 mw-list-item" title=""><a href="https://hy.wikipedia.org/wiki/%D5%96%D5%AB%D5%A2%D5%B8%D5%B6%D5%A1%D5%B9%D5%AB%D5%AB_%D5%A9%D5%BE%D5%A5%D6%80" title="Ֆիբոնաչիի թվեր – Armenian" lang="hy" hreflang="hy" data-title="Ֆիբոնաչիի թվեր" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hyw mw-list-item"><a href="https://hyw.wikipedia.org/wiki/%D5%96%D5%AB%D5%BA%D5%B8%D5%B6%D5%A1%D5%B9%D5%B9%D5%AB%D5%AB_%D5%A9%D5%AB%D6%82" title="Ֆիպոնաչչիի թիւ – Western Armenian" lang="hyw" hreflang="hyw" data-title="Ֆիպոնաչչիի թիւ" data-language-autonym="Արեւմտահայերէն" data-language-local-name="Western Armenian" class="interlanguage-link-target"><span>Արեւմտահայերէն</span></a></li><li class="interlanguage-link interwiki-id badge-Q70893996 mw-list-item" title=""><a href="https://id.wikipedia.org/wiki/Bilangan_Fibonacci" title="Bilangan Fibonacci – Indonesian" lang="id" hreflang="id" data-title="Bilangan Fibonacci" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Fibonacci-runan" title="Fibonacci-runan – Icelandic" lang="is" hreflang="is" data-title="Fibonacci-runan" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it badge-Q70894304 mw-list-item" title=""><a href="https://it.wikipedia.org/wiki/Numero_di_Fibonacci" title="Numero di Fibonacci – Italian" lang="it" hreflang="it" data-title="Numero di Fibonacci" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%95%E3%82%A3%E3%83%9C%E3%83%8A%E3%83%83%E3%83%81%E6%95%B0" title="フィボナッチ数 – Japanese" lang="ja" hreflang="ja" data-title="フィボナッチ数" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Fibonachchi_sanlar%C4%B1" title="Fibonachchi sanları – Kara-Kalpak" lang="kaa" hreflang="kaa" data-title="Fibonachchi sanları" data-language-autonym="Qaraqalpaqsha" data-language-local-name="Kara-Kalpak" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D0%B8_%D1%81%D0%B0%D0%BD%D0%B4%D0%B0%D1%80%D1%8B" title="Фибоначчи сандары – Kazakh" lang="kk" hreflang="kk" data-title="Фибоначчи сандары" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%94%BC%EB%B3%B4%EB%82%98%EC%B9%98_%EC%88%98" title="피보나치 수 – Korean" lang="ko" hreflang="ko" data-title="피보나치 수" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Numeri_Fibonacciani" title="Numeri Fibonacciani – Latin" lang="la" hreflang="la" data-title="Numeri Fibonacciani" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Fibona%C4%8Di_skait%C4%BCi" title="Fibonači skaitļi – Latvian" lang="lv" hreflang="lv" data-title="Fibonači skaitļi" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D0%B8%D0%B5%D0%B2%D0%B0_%D0%BD%D0%B8%D0%B7%D0%B0" title="Фибоначиева низа – Macedonian" lang="mk" hreflang="mk" data-title="Фибоначиева низа" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AB%E0%B4%BF%E0%B4%AC%E0%B4%A8%E0%B4%BE%E0%B4%9A%E0%B5%8D%E0%B4%9A%E0%B4%BF_%E0%B4%B6%E0%B5%8D%E0%B4%B0%E0%B5%87%E0%B4%A3%E0%B4%BF" title="ഫിബനാച്ചി ശ്രേണി – Malayalam" lang="ml" hreflang="ml" data-title="ഫിബനാച്ചി ശ്രേണി" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D0%B8%D0%B9%D0%BD_%D1%82%D0%BE%D0%BE" title="Фибоначчийн тоо – Mongolian" lang="mn" hreflang="mn" data-title="Фибоначчийн тоо" data-language-autonym="Монгол" data-language-local-name="Mongolian" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%AB%E0%A4%BF%E0%A4%AC%E0%A5%8B%E0%A4%A8%E0%A4%BE%E0%A4%9A%E0%A5%80_%E0%A4%B6%E0%A5%8D%E0%A4%B0%E0%A5%87%E0%A4%A3%E0%A5%80" title="फिबोनाची श्रेणी – Marathi" lang="mr" hreflang="mr" data-title="फिबोनाची श्रेणी" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-nl badge-Q70894304 mw-list-item" title=""><a href="https://nl.wikipedia.org/wiki/Fibonaccigetal" title="Fibonaccigetal – Dutch" lang="nl" hreflang="nl" data-title="Fibonaccigetal" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Fibonaccitall" title="Fibonaccitall – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Fibonaccitall" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%AB%E0%A8%BC%E0%A9%80%E0%A8%AC%E0%A9%8B%E0%A8%A8%E0%A8%BE%E0%A8%9A%E0%A9%80_%E0%A8%A4%E0%A8%B0%E0%A8%A4%E0%A9%80%E0%A8%AC" title="ਫ਼ੀਬੋਨਾਚੀ ਤਰਤੀਬ – Punjabi" lang="pa" hreflang="pa" data-title="ਫ਼ੀਬੋਨਾਚੀ ਤਰਤੀਬ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D9%81%DB%8C%D8%A8%D9%88%D9%86%D8%A7%DA%86%DB%90_%D8%A7%D8%B9%D8%AF%D8%A7%D8%AF" title="فیبوناچې اعداد – Pashto" lang="ps" hreflang="ps" data-title="فیبوناچې اعداد" data-language-autonym="پښتو" data-language-local-name="Pashto" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r_Fibonacci" title="Număr Fibonacci – Romanian" lang="ro" hreflang="ro" data-title="Număr Fibonacci" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%B0_%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D0%B8" title="Числа Фибоначчи – Russian" lang="ru" hreflang="ru" data-title="Числа Фибоначчи" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Fibonaccijev_niz" title="Fibonaccijev niz – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Fibonaccijev niz" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B7%86%E0%B7%92%E0%B6%B6%E0%B7%9C%E0%B6%B1%E0%B7%8F%E0%B6%A0%E0%B7%8A%E0%B6%A0%E0%B7%92_%E0%B7%83%E0%B6%82%E0%B6%9B%E0%B7%8A%E2%80%8D%E0%B6%BA%E0%B7%8F" title="ෆිබොනාච්චි සංඛ්‍යා – Sinhala" lang="si" hreflang="si" data-title="ෆිබොනාච්චි සංඛ්‍යා" data-language-autonym="සිංහල" data-language-local-name="Sinhala" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Fibonacci_number" title="Fibonacci number – Simple English" lang="en-simple" hreflang="en-simple" data-title="Fibonacci number" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Fibonaccijevo_%C5%A1tevilo" title="Fibonaccijevo število – Slovenian" lang="sl" hreflang="sl" data-title="Fibonaccijevo število" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Numrat_e_Fibonaccit" title="Numrat e Fibonaccit – Albanian" lang="sq" hreflang="sq" data-title="Numrat e Fibonaccit" data-language-autonym="Shqip" data-language-local-name="Albanian" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D0%B8%D1%98%D0%B5%D0%B2_%D0%BD%D0%B8%D0%B7" title="Фибоначијев низ – Serbian" lang="sr" hreflang="sr" data-title="Фибоначијев низ" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Fibonaccital" title="Fibonaccital – Swedish" lang="sv" hreflang="sv" data-title="Fibonaccital" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%BF%E0%AE%AA%E0%AE%A9%E0%AE%BE%E0%AE%9A%E0%AF%8D%E0%AE%9A%E0%AE%BF_%E0%AE%8E%E0%AE%A3%E0%AF%8D%E0%AE%95%E0%AE%B3%E0%AF%8D" title="பிபனாச்சி எண்கள் – Tamil" lang="ta" hreflang="ta" data-title="பிபனாச்சி எண்கள்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%AB%E0%B0%BF%E0%B0%AC%E0%B1%8B%E0%B0%A8%E0%B0%BE%E0%B0%9A%E0%B1%80_%E0%B0%B8%E0%B0%82%E0%B0%96%E0%B1%8D%E0%B0%AF%E0%B0%B2%E0%B1%81" title="ఫిబోనాచీ సంఖ్యలు – Telugu" lang="te" hreflang="te" data-title="ఫిబోనాచీ సంఖ్యలు" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%88%E0%B8%B3%E0%B8%99%E0%B8%A7%E0%B8%99%E0%B8%9F%E0%B8%B5%E0%B9%82%E0%B8%9A%E0%B8%99%E0%B8%B1%E0%B8%8A%E0%B8%8A%E0%B8%B5" title="จำนวนฟีโบนัชชี – Thai" lang="th" hreflang="th" data-title="จำนวนฟีโบนัชชี" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-uk badge-Q70894304 mw-list-item" title=""><a href="https://uk.wikipedia.org/wiki/%D0%A7%D0%B8%D1%81%D0%BB%D0%B0_%D0%A4%D1%96%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D1%96" title="Числа Фібоначчі – Ukrainian" lang="uk" hreflang="uk" data-title="Числа Фібоначчі" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Fibonacci_sonlari" title="Fibonacci sonlari – Uzbek" lang="uz" hreflang="uz" data-title="Fibonacci sonlari" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/D%C3%A3y_Fibonacci" title="Dãy Fibonacci – Vietnamese" lang="vi" hreflang="vi" data-title="Dãy Fibonacci" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Ihap_Fibonacci" title="Ihap Fibonacci – Waray" lang="war" hreflang="war" data-title="Ihap Fibonacci" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%96%90%E6%B3%A2%E9%82%A3%E5%A5%91%E6%95%B0" title="斐波那契数 – Chinese" lang="zh" hreflang="zh" data-title="斐波那契数" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%B2%BB%E6%B0%8F%E6%95%B8" title="費氏數 – Cantonese" lang="yue" hreflang="yue" data-title="費氏數" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q47577#sitelinks-wikipedia" title="Baguhin ang link sa ibang wika" class="wbc-editpage">baguhin ang mga link</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespace"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Bilang_na_Fibonacci" title="Tingnan ang nilalaman [c]" accesskey="c"><span>Artikulo</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Usapan:Bilang_na_Fibonacci" rel="discussion" title="Usapan tungkol sa nilalaman nito [t]" accesskey="t"><span>Usapan</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Ibahin ang baryante o variant ng wika" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Tagalog</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Mga tingin"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Bilang_na_Fibonacci"><span>Basahin</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Bilang_na_Fibonacci&veaction=edit" title="Baguhin ito [v]" accesskey="v"><span>Baguhin</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Bilang_na_Fibonacci&action=edit" title="Baguhin ang kodigong batayan ng pahinang ito [e]" accesskey="e"><span>Baguhin ang wikitext</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Bilang_na_Fibonacci&action=history" title="Nakaraang pagbabago sa pahinang ito [h]" accesskey="h"><span>Tingnan ang kasaysayan</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Mga kagamitan" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Mga kagamitan</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Mga kagamitan</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">itago</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="More options" > <div class="vector-menu-heading"> Mga aksyon </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Bilang_na_Fibonacci"><span>Basahin</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Bilang_na_Fibonacci&veaction=edit" title="Baguhin ito [v]" accesskey="v"><span>Baguhin</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Bilang_na_Fibonacci&action=edit" title="Baguhin ang kodigong batayan ng pahinang ito [e]" accesskey="e"><span>Baguhin ang wikitext</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Bilang_na_Fibonacci&action=history"><span>Tingnan ang kasaysayan</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Pangkalahatan </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Natatangi:Ano_ang_nakakawing_dito/Bilang_na_Fibonacci" title="Talaan ng mga pahinang wiking nakaturo rito. [j]" accesskey="j"><span>Mga nakaturo rito</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Natatangi:Nakakawing_ng_kamakailang_pagbabago/Bilang_na_Fibonacci" rel="nofollow" title="Mga huling binago sa mga kaugnay na pahina mula sa pahinang ito [k]" accesskey="k"><span>Kaugnay na pagbabago</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=tl" title="Magkarga ng mga larawan o iba pang midya [u]" accesskey="u"><span>Mag-upload ng file</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Natatangi:Natatanging_mga_pahina" title="Tala ng mga natatanging pahina [q]" accesskey="q"><span>Natatanging pahina</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Bilang_na_Fibonacci&oldid=2089318" title="Ibigay ang palagiang kawing para sa kasalukuyang bersyon ng pahinang ito"><span>Permanenteng link</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Bilang_na_Fibonacci&action=info" title="More information about this page"><span>Impormasyon ng pahina</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Natatangi:Sipiin&page=Bilang_na_Fibonacci&id=2089318&wpFormIdentifier=titleform" title="Impormasyon sa pagsangguni sa pahinang ito"><span>Sumangguni</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Natatangi:UrlShortener&url=https%3A%2F%2Ftl.wikipedia.org%2Fwiki%2FBilang_na_Fibonacci"><span>Kumuha ng pinaikling URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Natatangi:QrCode&url=https%3A%2F%2Ftl.wikipedia.org%2Fwiki%2FBilang_na_Fibonacci"><span>I-download ang QR code</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> I-print/I-export </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Natatangi:Aklat&bookcmd=book_creator&referer=Bilang+na+Fibonacci"><span>Lumikha ng isang aklat</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Natatangi:DownloadAsPdf&page=Bilang_na_Fibonacci&action=show-download-screen"><span>I-download bilang PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Bilang_na_Fibonacci&printable=yes" title="Ipakita ang bersyon ng pahinang itong madaling maililimbag [p]" accesskey="p"><span>Bersyong mapi-print</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Sa iba pang proyekto </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Fibonacci_numbers" hreflang="en"><span>Wikimedia Commons</span></a></li><li class="wb-otherproject-link wb-otherproject-wikifunctions mw-list-item"><a href="https://www.wikifunctions.org/wiki/Z13835" hreflang="en"><span>Wikifunctions</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q47577" title="Link sa nakakonektang item sa repositoryo ng datos [g]" accesskey="g"><span>Item na Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Page tools"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Itsura"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Itsura</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">ilipat sa gilid</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">itago</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Mula sa Wikipedia, ang malayang ensiklopedya</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="tl" dir="ltr"><figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Talaksan:34*21-FibonacciBlocks.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/db/34%2A21-FibonacciBlocks.png/300px-34%2A21-FibonacciBlocks.png" decoding="async" width="300" height="186" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/db/34%2A21-FibonacciBlocks.png/450px-34%2A21-FibonacciBlocks.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/db/34%2A21-FibonacciBlocks.png/600px-34%2A21-FibonacciBlocks.png 2x" data-file-width="681" data-file-height="422" /></a><figcaption>Isang pagbaldosa ng mga parisukat na kung saan ang mga haba ng gilid ay magkakasunod na mga bilang na Fibonacci: 1, 1, 2, 3, 5, 8, 13 and 21.</figcaption></figure> <p>Sa <a href="/wiki/Matematika" title="Matematika">matematika</a>, ang mga <b>bilang na Fibonacci</b>, karaniwang tinutukoy bilang <span class="texhtml"><i>F<sub>n</sub></i></span>, ay binubuo ang isang pagkasunud-sunod, tinatawag na <b>pagkakasunud-sunod na Fibonacci</b>, kung saan ang bawat bilang ay kabuuan ng dalawang sinusundan na mga bilang, simula 0 at 1. ang such that each number is the sum of the two preceding ones, starting from 0 and 1. Alalaong baga,<sup id="cite_ref-FOOTNOTELucas18913_1-0" class="reference"><a href="#cite_note-FOOTNOTELucas18913-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{0}=0,\quad F_{1}=1,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mspace width="1em" /> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>=</mo> <mn>1</mn> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{0}=0,\quad F_{1}=1,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3c667d91153450b3a161371582ee8227af85951f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:17.623ex; height:2.509ex;" alt="{\displaystyle F_{0}=0,\quad F_{1}=1,}"></span></dd></dl> <p>at </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle F_{n}=F_{n-1}+F_{n-2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>F</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−</mo> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle F_{n}=F_{n-1}+F_{n-2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4fa6d281e7a54e08aeffeef7458ddc0884333686" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:18.279ex; height:2.509ex;" alt="{\displaystyle F_{n}=F_{n-1}+F_{n-2}}"></span></dd></dl> <p>para <span class="texhtml"><i>n</i> > 1</span>. </p><p>Ang simula ng pagkasunud-sunod ay ganito: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\;\ldots }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>1</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>1</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>2</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>3</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>5</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>8</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>13</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>21</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>34</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>55</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>89</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mn>144</mn> <mo>,</mo> <mspace width="thickmathspace" /> <mo>…</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\;\ldots }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d9941f4184ea7677a056402b98d8b741af937f80" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:47.801ex; height:2.509ex;" alt="{\displaystyle 0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\;\ldots }"></span><sup id="cite_ref-oeis_2-0" class="reference"><a href="#cite_note-oeis-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></dd></dl> <p>Ang pagkakasunud-sunod na Fibonacci ay ipinangalan kay <a href="/wiki/Leonardo_ng_Pisa" class="mw-redirect" title="Leonardo ng Pisa">Leonardo ng Pisa</a> na kilala bilang Fibonacci. Ang aklat ni <a href="/wiki/Fibonacci" title="Fibonacci">Fibonacci</a> noong 1202 na pinamagatang <i>Liber Abaci</i> ang nagpakilala ng pagkakasunud-sunod Fibonacci sa Kanlurang Europeong matematika<sup id="cite_ref-Sigler_3-0" class="reference"><a href="#cite_note-Sigler-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> bagaman ang pagkakasunud-sunod na ito ay unang inilarawan sa matematikang Indiyano.<sup id="cite_ref-GlobalScience_4-0" class="reference"><a href="#cite_note-GlobalScience-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-HistoriaMathematica_5-0" class="reference"><a href="#cite_note-HistoriaMathematica-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-Donald_Knuth_2006_50_6-0" class="reference"><a href="#cite_note-Donald_Knuth_2006_50-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> (Sa modernong konbensiyon, ang pagkakasunud-sunod ay nagsisimula sa <i>F</i><sub>0</sub> = 0. Ang aklat na <i>Liber Abaci</i> ay nagsimula ng pagkakasunud-sunod na ito sa <i>F</i><sub>1</sub> = 1 na nag-aalis ng inisyal na 0 at ang pagkakasunud-sunod ito ay isinusulat pa rin ng ilan sa paraang ito.) </p><p>Ang mga bilang na Fibonacci ay malapit na kaugnay ng bilang na Lucas dahil ito ay komplementaryong pares ng pagkakasunud-sunod na Lucas. Ang mga ito ay malapit na kaugnay ng <a href="/w/index.php?title=Ginintuang_rasyo&action=edit&redlink=1" class="new" title="Ginintuang rasyo (hindi pa naisusulat)">ginintuang rasyo</a>. Halimbawa, ang pinakamalapit na apkroksimasyong rasyonal sa rasyo ay 2/1, 3/2, 5/3, 8/5, ... . Ang mga aplikasyon ng bilang na Fibonacci ay kinabibilangan ng mga <a href="/wiki/Algoritmo" title="Algoritmo">algoritmo</a> ng <a href="/wiki/Kompyuter" title="Kompyuter">kompyuter</a> gaya ng teknikong paghahanap ng Fibonacci, bunton na Fibonacci (<i>Fibonacci heap</i>) at mga <a href="/wiki/Grapo" class="mw-redirect mw-disambig" title="Grapo">grapong</a> tinatawag na kubikong Fibonacci na ginagamit para sa mga magkakadugtong na paralelo at ipinamamahaging mga sistema. Ang mga ito ay lumilitaw rin sa kapaligirang pambiyolohiya<sup id="cite_ref-S._Douady_and_Y._Couder_1996_255–274_7-0" class="reference"><a href="#cite_note-S._Douady_and_Y._Couder_1996_255–274-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> gaya ng pagsasanga ng mga <a href="/wiki/Puno" title="Puno">puno</a>, <i>phyllotaxis</i> (kaayusan ng mga dahon sa tangkay), sa mga usbong na prutas ng <a href="/wiki/Pinya" title="Pinya">pinya</a>,<sup id="cite_ref-Jones_2006_544_8-0" class="reference"><a href="#cite_note-Jones_2006_544-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> sa pamumulaklak ng <a href="/wiki/Artichoke" class="mw-redirect" title="Artichoke">alkatsopas</a>, ang pag-unat ng <a href="/wiki/Fern" class="mw-redirect" title="Fern">pako</a> at sa kaayusan ng kono ng pino.<sup id="cite_ref-A._Brousseau_1969_525–532_9-0" class="reference"><a href="#cite_note-A._Brousseau_1969_525–532-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Mga_sanggunian">Mga sanggunian</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Bilang_na_Fibonacci&veaction=edit&section=1" title="Baguhin seksiyon: Mga sanggunian" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Bilang_na_Fibonacci&action=edit&section=1" title="Edit section's source code: Mga sanggunian"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r2121818">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-FOOTNOTELucas18913-1"><span class="mw-cite-backlink"><a href="#cite_ref-FOOTNOTELucas18913_1-0">↑</a></span> <span class="reference-text"><a href="#CITEREFLucas1891">Lucas 1891</a>, p. 3.<span class="error harv-error" style="display: none; font-size:100%"> harv error: no target: CITEREFLucas1891 (<a href="/wiki/Kategorya:Harv_and_Sfn_template_errors" title="Kategorya:Harv and Sfn template errors">help</a>)</span></span> </li> <li id="cite_note-oeis-2"><span class="mw-cite-backlink"><a href="#cite_ref-oeis_2-0">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r2132731">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free a,.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited a,.mw-parser-output .id-lock-registration a,.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription a,.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#3a3;margin-left:0.3em}.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}</style><cite id="CITEREFSloane" class="citation web cs1 cs1-prop-foreign-lang-source">Sloane, N. J. A. (pat.). <a rel="nofollow" class="external text" href="https://oeis.org/A000045">"Sequence A000045"</a>. <i>The On-Line Encyclopedia of Integer Sequences</i> (sa wikang Ingles). OEIS Foundation.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=The+On-Line+Encyclopedia+of+Integer+Sequences&rft.atitle=Sequence%26%23x20%3BA000045&rft_id=https%3A%2F%2Foeis.org%2FA000045&rfr_id=info%3Asid%2Ftl.wikipedia.org%3ABilang+na+Fibonacci" class="Z3988"></span> (sa Ingles)</span> </li> <li id="cite_note-Sigler-3"><span class="mw-cite-backlink"><a href="#cite_ref-Sigler_3-0">↑</a></span> <span class="reference-text">Sigler, Laurence E. (trans.) (2002). Fibonacci's Liber Abaci. Springer-Verlag. <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/0387954198" class="internal mw-magiclink-isbn">ISBN 0-387-95419-8</a>. Kabanata II.12, pp. 404–405 (sa Ingles).</span> </li> <li id="cite_note-GlobalScience-4"><span class="mw-cite-backlink"><a href="#cite_ref-GlobalScience_4-0">↑</a></span> <span class="reference-text">Susantha Goonatilake (1998). Toward a Global Science. Indiana University Press. p. 126. <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/9780253333889" class="internal mw-magiclink-isbn">ISBN 9780253333889</a>. <a rel="nofollow" class="external free" href="http://books.google.com/?id=SI5ip95BbgEC&pg=PA126&dq=Virahanka+Fibonacci">http://books.google.com/?id=SI5ip95BbgEC&pg=PA126&dq=Virahanka+Fibonacci</a> (sa Ingles).</span> </li> <li id="cite_note-HistoriaMathematica-5"><span class="mw-cite-backlink"><a href="#cite_ref-HistoriaMathematica_5-0">↑</a></span> <span class="reference-text">Singh, Parmanand (1985). "The So-called Fibonacci numbers in ancient and medieval India". Historia Mathematica 12 (3): 229–244. doi:10.1016/0315-0860(85)90021-7 (sa Ingles).</span> </li> <li id="cite_note-Donald_Knuth_2006_50-6"><span class="mw-cite-backlink"><a href="#cite_ref-Donald_Knuth_2006_50_6-0">↑</a></span> <span class="reference-text">Donald Knuth (2006). The Art of Computer Programming: Generating All Trees—History of Combinatorial Generation; Bolyum 4. Addison–Wesley. p. 50. <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/9780321335708" class="internal mw-magiclink-isbn">ISBN 9780321335708</a>. <a rel="nofollow" class="external free" href="http://books.google.com/?id=56LNfE2QGtYC&pg=PA50&dq=rhythms">http://books.google.com/?id=56LNfE2QGtYC&pg=PA50&dq=rhythms</a>. (sa Ingles) banggit: it was natural to consider the set of all sequences of [L] and [S] that have exactly m beats. ... there are exactly Fm+1 of them. For example the 21 sequences when m = 7 are: [gives list]. In this way Indian prosodists were led to discover the Fibonacci sequence, as we have observed in Section 1.2.8 (from v.1)</span> </li> <li id="cite_note-S._Douady_and_Y._Couder_1996_255–274-7"><span class="mw-cite-backlink"><a href="#cite_ref-S._Douady_and_Y._Couder_1996_255–274_7-0">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite id="CITEREFS._Douady_and_Y._Couder1996" class="citation journal cs1 cs1-prop-foreign-lang-source">S. Douady and Y. Couder (1996). <a rel="nofollow" class="external text" href="https://web.archive.org/web/20060526054108/http://www.math.ntnu.no/~jarlet/Douady96.pdf">"Phyllotaxis as a Dynamical Self Organizing Process"</a> <span class="cs1-format">(PDF)</span>. <i>Journal of Theoretical Biology</i> (sa wikang Ingles). <b>178</b> (178): 255–274. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1006%2Fjtbi.1996.0026">10.1006/jtbi.1996.0026</a>. Inarkibo mula sa <a rel="nofollow" class="external text" href="http://www.math.ntnu.no/~jarlet/Douady96.pdf">orihinal</a> <span class="cs1-format">(PDF)</span> noong 2006-05-26<span class="reference-accessdate">. Nakuha noong <span class="nowrap">2011-11-19</span></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Journal+of+Theoretical+Biology&rft.atitle=Phyllotaxis+as+a+Dynamical+Self+Organizing+Process&rft.volume=178&rft.issue=178&rft.pages=255-274&rft.date=1996&rft_id=info%3Adoi%2F10.1006%2Fjtbi.1996.0026&rft.au=S.+Douady+and+Y.+Couder&rft_id=http%3A%2F%2Fwww.math.ntnu.no%2F~jarlet%2FDouady96.pdf&rfr_id=info%3Asid%2Ftl.wikipedia.org%3ABilang+na+Fibonacci" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_journal" title="Padron:Cite journal">cite journal</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-Jones_2006_544-8"><span class="mw-cite-backlink"><a href="#cite_ref-Jones_2006_544_8-0">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite id="CITEREFJonesWilliam_Wilson2006" class="citation book cs1 cs1-prop-foreign-lang-source">Jones, Judy; William Wilson (2006). "Science". <a rel="nofollow" class="external text" href="https://archive.org/details/incompleteeducat0003jone"><i>An Incomplete Education</i></a> (sa wikang Ingles). Ballantine Books. p. <a rel="nofollow" class="external text" href="https://archive.org/details/incompleteeducat0003jone/page/544">544</a>. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/978-0-7394-7582-9" title="Natatangi:Mga pinagmulang aklat/978-0-7394-7582-9"><bdi>978-0-7394-7582-9</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Science&rft.btitle=An+Incomplete+Education&rft.pages=544&rft.pub=Ballantine+Books&rft.date=2006&rft.isbn=978-0-7394-7582-9&rft.aulast=Jones&rft.aufirst=Judy&rft.au=William+Wilson&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fincompleteeducat0003jone&rfr_id=info%3Asid%2Ftl.wikipedia.org%3ABilang+na+Fibonacci" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_book" title="Padron:Cite book">cite book</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> <li id="cite_note-A._Brousseau_1969_525–532-9"><span class="mw-cite-backlink"><a href="#cite_ref-A._Brousseau_1969_525–532_9-0">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731"><cite id="CITEREFA._Brousseau1969" class="citation journal cs1 cs1-prop-foreign-lang-source">A. Brousseau (1969). "Fibonacci Statistics in Conifers". <i>Fibonacci Quarterly</i> (sa wikang Ingles) (7): 525–532.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Fibonacci+Quarterly&rft.atitle=Fibonacci+Statistics+in+Conifers&rft.issue=7&rft.pages=525-532&rft.date=1969&rft.au=A.+Brousseau&rfr_id=info%3Asid%2Ftl.wikipedia.org%3ABilang+na+Fibonacci" class="Z3988"></span><span class="cs1-maint citation-comment"><code class="cs1-code">{{<a href="/wiki/Padron:Cite_journal" title="Padron:Cite journal">cite journal</a>}}</code>: CS1 maint: date auto-translated (<a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">link</a>)</span></span> </li> </ol></div></div> <p><span typeof="mw:File"><a href="/wiki/Talaksan:Arithmetic_symbols.svg" class="mw-file-description" title="Matematika"><img alt="Matematika" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Arithmetic_symbols.svg/35px-Arithmetic_symbols.svg.png" decoding="async" width="35" height="35" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Arithmetic_symbols.svg/53px-Arithmetic_symbols.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Arithmetic_symbols.svg/70px-Arithmetic_symbols.svg.png 2x" data-file-width="210" data-file-height="210" /></a></span> <i>Ang lathalaing ito na tungkol sa <b>Matematika</b> ay isang <a href="/wiki/Wikipedia:Usbong" title="Wikipedia:Usbong">usbong</a>. Makatutulong ka sa <a href="/wiki/Wikipedia" title="Wikipedia">Wikipedia</a> sa <span class="plainlinks"><a class="external text" href="https://tl.wikipedia.org/w/index.php?title=Bilang_na_Fibonacci&action=edit">pagpapalawig</a></span> nito.</i> </p>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Kinuha sa "<a dir="ltr" href="https://tl.wikipedia.org/w/index.php?title=Bilang_na_Fibonacci&oldid=2089318">https://tl.wikipedia.org/w/index.php?title=Bilang_na_Fibonacci&oldid=2089318</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Natatangi:Mga_kategorya" title="Natatangi:Mga kategorya">Kategorya</a>: <ul><li><a href="/wiki/Kategorya:Mga_sekwensiya" title="Kategorya:Mga sekwensiya">Mga sekwensiya</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Mga nakatagong kategorya: <ul><li><a href="/wiki/Kategorya:Harv_and_Sfn_no-target_errors" title="Kategorya:Harv and Sfn no-target errors">Harv and Sfn no-target errors</a></li><li><a href="/wiki/Kategorya:Sangguniang_CS1_sa_wikang_Ingles_(en)" title="Kategorya:Sangguniang CS1 sa wikang Ingles (en)">Sangguniang CS1 sa wikang Ingles (en)</a></li><li><a href="/wiki/Kategorya:CS1_maint:_date_auto-translated" title="Kategorya:CS1 maint: date auto-translated">CS1 maint: date auto-translated</a></li><li><a href="/wiki/Kategorya:Pages_using_ISBN_magic_links" title="Kategorya:Pages using ISBN magic links">Pages using ISBN magic links</a></li><li><a href="/wiki/Kategorya:Stub_(Matematika)" title="Kategorya:Stub (Matematika)">Stub (Matematika)</a></li><li><a href="/wiki/Kategorya:Mga_lathalaing_dapat_palawigin" title="Kategorya:Mga lathalaing dapat palawigin">Mga lathalaing dapat palawigin</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Huling pagbabago: 01:17, 10 Pebrero 2024.</li> <li id="footer-info-copyright">Magagamit ang teksto sa ilalim ng <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Lisensyang Creative Commons Attribution/Share-Alike</a>; maaaring mailapat ang karagdagang termino. Tingnan ang <a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">Takdang Gamit</a> para sa mga detalye.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Patakaran sa Pagkapribado</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:Patungkol">Patungkol sa Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:Pangkalahatang_pagtatanggi">Pagtatanggi</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Kodigo ng Paggawi</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Mga Developer</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/tl.wikipedia.org">Estadistika</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Tungkol sa Cookie</a></li> <li id="footer-places-mobileview"><a href="//tl.m.wikipedia.org/w/index.php?title=Bilang_na_Fibonacci&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Itsura sa mobile</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-6b7f745dd4-wmcfm","wgBackendResponseTime":167,"wgPageParseReport":{"limitreport":{"cputime":"0.172","walltime":"0.359","ppvisitednodes":{"value":574,"limit":1000000},"postexpandincludesize":{"value":11003,"limit":2097152},"templateargumentsize":{"value":429,"limit":2097152},"expansiondepth":{"value":10,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":1,"limit":20},"unstrip-size":{"value":17233,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 180.003 1 -total"," 67.25% 121.061 1 Padron:Reflist"," 44.48% 80.058 1 Padron:Cite_OEIS"," 38.73% 69.713 1 Padron:Cite_web"," 16.68% 30.027 1 Padron:Sfn"," 10.73% 19.309 2 Padron:Math"," 7.38% 13.282 2 Padron:Cite_journal"," 4.26% 7.664 1 Padron:Cite_book"," 2.76% 4.966 1 Padron:Stub"," 1.49% 2.689 4 Padron:Main_other"]},"scribunto":{"limitreport-timeusage":{"value":"0.086","limit":"10.000"},"limitreport-memusage":{"value":4093610,"limit":52428800},"limitreport-logs":"anchor_id_list = table#1 {\n [\"CITEREFA._Brousseau1969\"] = 1,\n [\"CITEREFJonesWilliam_Wilson2006\"] = 1,\n [\"CITEREFS._Douady_and_Y._Couder1996\"] = 1,\n}\ntemplate_list = table#1 {\n [\"Cite OEIS\"] = 1,\n [\"Cite book\"] = 1,\n [\"Cite journal\"] = 2,\n [\"Math\"] = 2,\n [\"Reflist\"] = 1,\n [\"Sfn\"] = 1,\n [\"Stub\"] = 1,\n}\narticle_whitelist = table#1 {\n}\n"},"cachereport":{"origin":"mw-web.codfw.main-f69cdc8f6-cnfgh","timestamp":"20241123190512","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Bilang na Fibonacci","url":"https:\/\/tl.wikipedia.org\/wiki\/Bilang_na_Fibonacci","sameAs":"http:\/\/www.wikidata.org\/entity\/Q47577","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q47577","author":{"@type":"Organization","name":"Contributors to Wikimedia projects"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2011-11-19T05:27:38Z","dateModified":"2024-02-10T01:17:46Z","image":"https:\/\/upload.wikimedia.org\/wikipedia\/commons\/d\/db\/34%2A21-FibonacciBlocks.png"}</script> </body> </html>