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Fibonacci - Wikipedia, ang malayang ensiklopedya

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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">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 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Mayroon ito sa 114 (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-114" 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">114 (na) wika</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Afrikaans" lang="af" hreflang="af" data-title="Fibonacci" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Alemannic" lang="gsw" hreflang="gsw" data-title="Leonardo Fibonacci" data-language-autonym="Alemannisch" data-language-local-name="Alemannic" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Aragonese" lang="an" hreflang="an" data-title="Fibonacci" data-language-autonym="Aragonés" data-language-local-name="Aragonese" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%84%D9%8A%D9%88%D9%86%D8%A7%D8%B1%D8%AF%D9%88_%D9%81%D9%8A%D8%A8%D9%88%D9%86%D8%A7%D8%AA%D8%B4%D9%8A" title="ليوناردو فيبوناتشي – Arabic" lang="ar" hreflang="ar" data-title="ليوناردو فيبوناتشي" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%81%D9%8A%D8%A8%D9%88%D9%86%D8%A7%D8%AA%D8%B4%D9%89" title="فيبوناتشى – Egyptian Arabic" lang="arz" hreflang="arz" data-title="فيبوناتشى" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Leonardo_de_Pisa" title="Leonardo de Pisa – Asturian" lang="ast" hreflang="ast" data-title="Leonardo de Pisa" data-language-autonym="Asturianu" data-language-local-name="Asturian" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Leonardo_Fibona%C3%A7%C3%A7i" title="Leonardo Fibonaççi – Azerbaijani" lang="az" hreflang="az" data-title="Leonardo Fibonaççi" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D9%84%D8%A6%D9%88%D9%86%D8%A7%D8%B1%D8%AF%D9%88_%D9%81%DB%8C%D8%A8%D9%88%D9%86%D8%A7%DA%86%DB%8C" title="لئوناردو فیبوناچی – South Azerbaijani" lang="azb" hreflang="azb" data-title="لئوناردو فیبوناچی" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</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" title="Фибоначчи – Bashkir" lang="ba" hreflang="ba" data-title="Фибоначчи" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/F%C4%97buona%C4%8D%C4%97s" title="Fėbuonačės – Samogitian" lang="sgs" hreflang="sgs" data-title="Fėbuonačės" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Central Bikol" lang="bcl" hreflang="bcl" data-title="Leonardo Fibonacci" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A4%D1%96%D0%B1%D0%B0%D0%BD%D0%B0%D1%87%D1%8B" title="Фібаначы – Belarusian" lang="be" hreflang="be" data-title="Фібаначы" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%A4%D1%96%D0%B1%D0%B0%D0%BD%D0%B0%D1%87%D1%87%D1%8B" title="Фібаначчы – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Фібаначчы" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9B%D0%B5%D0%BE%D0%BD%D0%B0%D1%80%D0%B4%D0%BE_%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D0%B8" title="Леонардо Фибоначи – Bulgarian" lang="bg" hreflang="bg" data-title="Леонардо Фибоначи" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bi mw-list-item"><a href="https://bi.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Bislama" lang="bi" hreflang="bi" data-title="Fibonacci" data-language-autonym="Bislama" data-language-local-name="Bislama" class="interlanguage-link-target"><span>Bislama</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AB%E0%A6%BF%E0%A6%AC%E0%A7%8B%E0%A6%A8%E0%A6%BE%E0%A6%9A%E0%A7%8D%E0%A6%9A%E0%A6%BF" title="ফিবোনাচ্চি – Bangla" lang="bn" hreflang="bn" data-title="ফিবোনাচ্চি" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Breton" lang="br" hreflang="br" data-title="Fibonacci" data-language-autonym="Brezhoneg" data-language-local-name="Breton" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Bosnian" lang="bs" hreflang="bs" data-title="Fibonacci" 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/Leonardo_de_Pisa" title="Leonardo de Pisa – Catalan" lang="ca" hreflang="ca" data-title="Leonardo de Pisa" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D0%B8" title="Фибоначчи – Chechen" lang="ce" hreflang="ce" data-title="Фибоначчи" data-language-autonym="Нохчийн" data-language-local-name="Chechen" class="interlanguage-link-target"><span>Нохчийн</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%81%DB%8C%D8%A8%DB%86%D9%86%D8%A7%DA%86%DB%8C" title="فیبۆناچی – Central Kurdish" lang="ckb" hreflang="ckb" data-title="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-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Leonardu_Fibonacci" title="Leonardu Fibonacci – Corsican" lang="co" hreflang="co" data-title="Leonardu Fibonacci" data-language-autonym="Corsu" data-language-local-name="Corsican" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Czech" lang="cs" hreflang="cs" data-title="Leonardo Fibonacci" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cu mw-list-item"><a href="https://cu.wikipedia.org/wiki/%D0%9B%D1%94%D1%A1%D0%BD%D0%B0%D1%80%D0%B4%D1%8A_%D0%9F%D1%97%EA%99%81%D0%B0%D0%BD%D1%8C%D1%81%D0%BA%EA%99%91%D0%B8" title="Лєѡнардъ Пїꙁаньскꙑи – Church Slavic" lang="cu" hreflang="cu" data-title="Лєѡнардъ Пїꙁаньскꙑи" 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-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Welsh" lang="cy" hreflang="cy" data-title="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/Leonardo_da_Pisa" title="Leonardo da Pisa – Danish" lang="da" hreflang="da" data-title="Leonardo da Pisa" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – German" lang="de" hreflang="de" data-title="Leonardo Fibonacci" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Dimli" lang="diq" hreflang="diq" data-title="Leonardo Fibonacci" data-language-autonym="Zazaki" data-language-local-name="Dimli" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9B%CE%B5%CE%BF%CE%BD%CE%AC%CF%81%CE%BD%CF%84%CE%BF_%CF%84%CE%B7%CF%82_%CE%A0%CE%AF%CE%B6%CE%B1%CF%82" title="Λεονάρντο της Πίζας – Greek" lang="el" hreflang="el" data-title="Λεονάρντο της Πίζας" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Fibonacci" title="Fibonacci – English" lang="en" hreflang="en" data-title="Fibonacci" 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/Fibonacci" title="Fibonacci – Esperanto" lang="eo" hreflang="eo" data-title="Fibonacci" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Leonardo_de_Pisa" title="Leonardo de Pisa – Spanish" lang="es" hreflang="es" data-title="Leonardo de Pisa" 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/Leonardo_Fibonacci" title="Leonardo Fibonacci – Estonian" lang="et" hreflang="et" data-title="Leonardo Fibonacci" 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/Leonardo_Pisano" title="Leonardo Pisano – Basque" lang="eu" hreflang="eu" data-title="Leonardo Pisano" 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/%D9%84%D8%A6%D9%88%D9%86%D8%A7%D8%B1%D8%AF%D9%88_%D9%81%DB%8C%D8%A8%D9%88%D9%86%D8%A7%DA%86%DB%8C" title="لئوناردو فیبوناچی – Persian" lang="fa" hreflang="fa" data-title="لئوناردو فیبوناچی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Finnish" lang="fi" hreflang="fi" data-title="Fibonacci" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Võro" lang="vro" hreflang="vro" data-title="Fibonacci" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – French" lang="fr" hreflang="fr" data-title="Leonardo Fibonacci" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Northern Frisian" lang="frr" hreflang="frr" data-title="Leonardo Fibonacci" data-language-autonym="Nordfriisk" data-language-local-name="Northern Frisian" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Irish" lang="ga" hreflang="ga" data-title="Leonardo Fibonacci" data-language-autonym="Gaeilge" data-language-local-name="Irish" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Galician" lang="gl" hreflang="gl" data-title="Leonardo Fibonacci" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Hausa" lang="ha" hreflang="ha" data-title="Fibonacci" data-language-autonym="Hausa" data-language-local-name="Hausa" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A4%D7%99%D7%91%D7%95%D7%A0%D7%90%D7%A6%27%D7%99" title="פיבונאצ&#039;י – Hebrew" lang="he" hreflang="he" data-title="פיבונאצ&#039;י" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Fiji Hindi" lang="hif" hreflang="hif" data-title="Fibonacci" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Croatian" lang="hr" hreflang="hr" data-title="Fibonacci" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Haitian Creole" lang="ht" hreflang="ht" data-title="Fibonacci" data-language-autonym="Kreyòl ayisyen" data-language-local-name="Haitian Creole" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Hungarian" lang="hu" hreflang="hu" data-title="Fibonacci" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%96%D5%AB%D5%A2%D5%B8%D5%B6%D5%A1%D5%B9%D5%AB" title="Ֆիբոնաչի – Armenian" lang="hy" hreflang="hy" data-title="Ֆիբոնաչի" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Interlingua" lang="ia" hreflang="ia" data-title="Fibonacci" data-language-autonym="Interlingua" data-language-local-name="Interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Leonardo_da_Pisa" title="Leonardo da Pisa – Indonesian" lang="id" hreflang="id" data-title="Leonardo da Pisa" 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-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Iloko" lang="ilo" hreflang="ilo" data-title="Fibonacci" data-language-autonym="Ilokano" data-language-local-name="Iloko" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Ido" lang="io" hreflang="io" data-title="Leonardo Fibonacci" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Leonardo_Pisano" title="Leonardo Pisano – Icelandic" lang="is" hreflang="is" data-title="Leonardo Pisano" data-language-autonym="Íslenska" data-language-local-name="Icelandic" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Italian" lang="it" hreflang="it" data-title="Leonardo 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%AC%E3%82%AA%E3%83%8A%E3%83%AB%E3%83%89%E3%83%BB%E3%83%95%E3%82%A3%E3%83%9C%E3%83%8A%E3%83%83%E3%83%81" title="レオナルド・フィボナッチ – Japanese" lang="ja" hreflang="ja" data-title="レオナルド・フィボナッチ" 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-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A4%E1%83%98%E1%83%91%E1%83%9D%E1%83%9C%E1%83%90%E1%83%A9%E1%83%98" title="ფიბონაჩი – Georgian" lang="ka" hreflang="ka" data-title="ფიბონაჩი" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Kabyle" lang="kab" hreflang="kab" data-title="Leonardo Fibonacci" data-language-autonym="Taqbaylit" data-language-local-name="Kabyle" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kbp mw-list-item"><a href="https://kbp.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Kabiye" lang="kbp" hreflang="kbp" data-title="Leonardo Fibonacci" data-language-autonym="Kabɩyɛ" data-language-local-name="Kabiye" class="interlanguage-link-target"><span>Kabɩyɛ</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" title="Фибоначчи – Kazakh" lang="kk" hreflang="kk" data-title="Фибоначчи" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%AB%E0%B2%BF%E0%B2%AC%E0%B3%8A%E0%B2%A8%E0%B2%BE%E0%B2%9A%E0%B2%BF" title="ಫಿಬೊನಾಚಿ – Kannada" lang="kn" hreflang="kn" data-title="ಫಿಬೊನಾಚಿ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A0%88%EC%98%A4%EB%82%98%EB%A5%B4%EB%8F%84_%ED%94%BC%EB%B3%B4%EB%82%98%EC%B9%98" title="레오나르도 피보나치 – Korean" lang="ko" hreflang="ko" data-title="레오나르도 피보나치" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Kurdish" lang="ku" hreflang="ku" data-title="Fibonacci" data-language-autonym="Kurdî" data-language-local-name="Kurdish" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Cornish" lang="kw" hreflang="kw" data-title="Fibonacci" data-language-autonym="Kernowek" data-language-local-name="Cornish" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Leonardus_Pisanus" title="Leonardus Pisanus – Latin" lang="la" hreflang="la" data-title="Leonardus Pisanus" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Limburgish" lang="li" hreflang="li" data-title="Fibonacci" data-language-autonym="Limburgs" data-language-local-name="Limburgish" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Lombard" lang="lmo" hreflang="lmo" data-title="Fibonacci" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Lithuanian" lang="lt" hreflang="lt" data-title="Fibonacci" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Fibona%C4%8Di" title="Fibonači – Latvian" lang="lv" hreflang="lv" data-title="Fibonači" 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%9B%D0%B5%D0%BE%D0%BD%D0%B0%D1%80%D0%B4%D0%BE_%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D0%B8" title="Леонардо Фибоначи – Macedonian" lang="mk" hreflang="mk" data-title="Леонардо Фибоначи" 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" title="ഫിബനാച്ചി – Malayalam" lang="ml" hreflang="ml" data-title="ഫിബനാച്ചി" 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" title="Фибоначчи – Mongolian" lang="mn" hreflang="mn" data-title="Фибоначчи" 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%B2%E0%A4%BF%E0%A4%93%E0%A4%A8%E0%A4%BE%E0%A4%B0%E0%A5%8D%E0%A4%A6%E0%A5%8B_%E0%A4%AB%E0%A4%BF%E0%A4%AC%E0%A5%8B%E0%A4%A8%E0%A4%BE%E0%A4%9A%E0%A5%80" title="लिओनार्दो फिबोनाची – Marathi" lang="mr" hreflang="mr" data-title="लिओनार्दो फिबोनाची" data-language-autonym="मराठी" data-language-local-name="Marathi" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Malay" lang="ms" hreflang="ms" data-title="Fibonacci" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Mirandese" lang="mwl" hreflang="mwl" data-title="Leonardo Fibonacci" data-language-autonym="Mirandés" data-language-local-name="Mirandese" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%9C%E1%80%AE%E1%80%9A%E1%80%AD%E1%80%AF%E1%80%94%E1%80%AC%E1%80%92%E1%80%AD%E1%80%AF_%E1%80%95%E1%80%AE%E1%80%86%E1%80%AC%E1%80%94%E1%80%AD%E1%80%AF_%E1%80%98%E1%80%AE%E1%80%95%E1%80%B1%E1%80%AB%E1%80%9C%E1%80%BA%E1%80%9C%E1%80%AD%E1%80%AF" title="လီယိုနာဒို ပီဆာနို ဘီပေါလ်လို – Burmese" lang="my" hreflang="my" data-title="လီယိုနာဒို ပီဆာနို ဘီပေါလ်လို" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burmese" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Leonardo_vun_Pisa" title="Leonardo vun Pisa – Low German" lang="nds" hreflang="nds" data-title="Leonardo vun Pisa" data-language-autonym="Plattdüütsch" data-language-local-name="Low German" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Dutch" lang="nl" hreflang="nl" data-title="Fibonacci" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Fibonacci" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Leonardo Fibonacci" 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-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Leonardo_de_Pisa" title="Leonardo de Pisa – Occitan" lang="oc" hreflang="oc" data-title="Leonardo de Pisa" data-language-autonym="Occitan" data-language-local-name="Occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Fibonaachii" title="Fibonaachii – Oromo" lang="om" hreflang="om" data-title="Fibonaachii" data-language-autonym="Oromoo" data-language-local-name="Oromo" class="interlanguage-link-target"><span>Oromoo</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" title="ਫ਼ੀਬੋਨਾਚੀ – Punjabi" lang="pa" hreflang="pa" data-title="ਫ਼ੀਬੋਨਾਚੀ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Polish" lang="pl" hreflang="pl" data-title="Fibonacci" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Piedmontese" lang="pms" hreflang="pms" data-title="Leonardo Fibonacci" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%81%DB%8C%D8%A8%D9%88%D9%86%DA%A9%DB%8C" title="فیبونکی – Western Punjabi" lang="pnb" hreflang="pnb" data-title="فیبونکی" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Portuguese" lang="pt" hreflang="pt" data-title="Leonardo Fibonacci" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Romanian" lang="ro" hreflang="ro" data-title="Leonardo 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%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D0%B8" title="Фибоначчи – Russian" lang="ru" hreflang="ru" data-title="Фибоначчи" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%A4%D1%96%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D1%96" title="Фібоначчі – Rusyn" lang="rue" hreflang="rue" data-title="Фібоначчі" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D0%B8" title="Фибоначчи – Yakut" lang="sah" hreflang="sah" data-title="Фибоначчи" data-language-autonym="Саха тыла" data-language-local-name="Yakut" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn badge-Q17437796 badge-featuredarticle mw-list-item" title="mga napiling artikulo"><a href="https://scn.wikipedia.org/wiki/Liunardu_Fibonacci" title="Liunardu Fibonacci – Sicilian" lang="scn" hreflang="scn" data-title="Liunardu Fibonacci" data-language-autonym="Sicilianu" data-language-local-name="Sicilian" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Leonardo Fibonacci" 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" title="ෆිබොනාච්චි – Sinhala" lang="si" hreflang="si" data-title="ෆිබොනාච්චි" 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" title="Fibonacci – Simple English" lang="en-simple" hreflang="en-simple" data-title="Fibonacci" 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-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Leonardo_Pisano_Fibonacci" title="Leonardo Pisano Fibonacci – Slovak" lang="sk" hreflang="sk" data-title="Leonardo Pisano Fibonacci" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Slovenian" lang="sl" hreflang="sl" data-title="Leonardo Fibonacci" 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/Leonardo_Fibonacci" title="Leonardo Fibonacci – Albanian" lang="sq" hreflang="sq" data-title="Leonardo Fibonacci" 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%9B%D0%B5%D0%BE%D0%BD%D0%B0%D1%80%D0%B4%D0%BE_%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D0%B8" title="Леонардо Фибоначи – Serbian" lang="sr" hreflang="sr" data-title="Леонардо Фибоначи" 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/Leonardo_Fibonacci" title="Leonardo Fibonacci – Swedish" lang="sv" hreflang="sv" data-title="Leonardo Fibonacci" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Swahili" lang="sw" hreflang="sw" data-title="Fibonacci" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%83%E0%AE%AA%E0%AE%BF%E0%AE%AA%E0%AF%8A%E0%AE%A9%E0%AE%BE%E0%AE%9A%E0%AF%8D%E0%AE%9A%E0%AE%BF" title="ஃபிபொனாச்சி – Tamil" lang="ta" hreflang="ta" data-title="ஃபிபொனாச்சி" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%A5%E0%B9%82%E0%B8%AD%E0%B8%99%E0%B8%B2%E0%B8%A3%E0%B9%8C%E0%B9%82%E0%B8%94_%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="เลโอนาร์โด ฟีโบนัชชี – Thai" lang="th" hreflang="th" data-title="เลโอนาร์โด ฟีโบนัชชี" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Leonardo_Fibonacci" title="Leonardo Fibonacci – Turkish" lang="tr" hreflang="tr" data-title="Leonardo Fibonacci" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%A4%D0%B8%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D0%B8" title="Фибоначчи – Tatar" lang="tt" hreflang="tt" data-title="Фибоначчи" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A4%D1%96%D0%B1%D0%BE%D0%BD%D0%B0%D1%87%D1%87%D1%96" title="Фібоначчі – Ukrainian" lang="uk" hreflang="uk" data-title="Фібоначчі" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%81%DB%8C%D8%A8%D9%88%D9%86%D8%A7%D8%B4%DB%8C" title="فیبوناشی – Urdu" lang="ur" hreflang="ur" data-title="فیبوناشی" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Uzbek" lang="uz" hreflang="uz" data-title="Fibonacci" 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/Fibonacci" title="Fibonacci – Vietnamese" lang="vi" hreflang="vi" data-title="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-vo mw-list-item"><a href="https://vo.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Volapük" lang="vo" hreflang="vo" data-title="Fibonacci" data-language-autonym="Volapük" data-language-local-name="Volapük" class="interlanguage-link-target"><span>Volapük</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Fibonacci" title="Fibonacci – Waray" lang="war" hreflang="war" data-title="Fibonacci" data-language-autonym="Winaray" data-language-local-name="Waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%96%90%E6%B3%A2%E9%82%A3%E5%A5%91" title="斐波那契 – Wu" lang="wuu" hreflang="wuu" data-title="斐波那契" data-language-autonym="吴语" data-language-local-name="Wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A4%E1%83%98%E1%83%91%E1%83%9D%E1%83%9C%E1%83%90%E1%83%A9%E1%83%98" title="ფიბონაჩი – Mingrelian" lang="xmf" hreflang="xmf" data-title="ფიბონაჩი" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</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" title="斐波那契 – Chinese" lang="zh" hreflang="zh" data-title="斐波那契" 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%B3%A2%E9%82%A3%E8%A5%BF" title="費波那西 – Cantonese" lang="yue" hreflang="yue" data-title="費波那西" data-language-autonym="粵語" data-language-local-name="Cantonese" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div 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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/Fibonacci"><span>Basahin</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item 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data-mw-deduplicate="TemplateStyles:r2151589">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{.mw-parser-output .ns-0 .hatnote{display:none}}</style><div role="note" class="hatnote navigation-not-searchable">Para pagkakasunod na bilang, tingnan ang <a href="/wiki/Bilang_Fibonacci" class="mw-redirect" title="Bilang Fibonacci">bilang Fibonacci</a>.</div> <style data-mw-deduplicate="TemplateStyles:r1971697">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}body.skin-minerva .mw-parser-output .infobox-header,body.skin-minerva .mw-parser-output .infobox-subheader,body.skin-minerva .mw-parser-output .infobox-above,body.skin-minerva .mw-parser-output .infobox-title,body.skin-minerva .mw-parser-output .infobox-image,body.skin-minerva .mw-parser-output .infobox-full-data,body.skin-minerva .mw-parser-output .infobox-below{text-align:center}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="fn" style="display:inline">Fibonacci</div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/Talaksan:Leonardo_da_Pisa.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Leonardo_da_Pisa.jpg/250px-Leonardo_da_Pisa.jpg" decoding="async" width="220" height="331" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Leonardo_da_Pisa.jpg/330px-Leonardo_da_Pisa.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8e/Leonardo_da_Pisa.jpg/500px-Leonardo_da_Pisa.jpg 2x" data-file-width="2000" data-file-height="3008" /></a></span><div class="infobox-caption">Bantayog ni Fibonacci (1863) na gawa ni Giovanni Paganucci sa Camposanto di Pisa<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>a<span class="cite-bracket">&#93;</span></a></sup></div></td></tr><tr><th scope="row" class="infobox-label">Kapanganakan</th><td class="infobox-data">1170<br /><div style="display:inline" class="birthplace"><a href="/wiki/Pisa" title="Pisa">Pisa</a>,<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> Republika ng Pisa</div></td></tr><tr><th scope="row" class="infobox-label">Kamatayan</th><td class="infobox-data">mga 1250<span style="display:none">(1250-00-00)</span> (edad&#160;79–80)<br /><div style="display:inline" class="deathplace">Pisa, Republika ng Pisa</div></td></tr><tr><th scope="row" class="infobox-label">Ibang pangalan</th><td class="infobox-data nickname">Leonardo Fibonacci, Leonardo Bonacci, Leonardo Pisano</td></tr><tr><th scope="row" class="infobox-label">Trabaho</th><td class="infobox-data role"><a href="/wiki/Matematiko" title="Matematiko">Matematiko</a></td></tr><tr><th scope="row" class="infobox-label">Kilala sa</th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r2023235">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><div class="hlist"> <ul><li><i>Liber Abaci</i>, ginawang popular ang sistemang pamilang na Hindu-Arabe sa Europa</li> <li>Mga <a href="/wiki/Bilang_Fibonacci" class="mw-redirect" title="Bilang Fibonacci">bilang Fibonacci</a></li></ul> </div></td></tr><tr><th scope="row" class="infobox-label">Magulang</th><td class="infobox-data">Guglielmo "Bonacci" (ama)</td></tr></tbody></table> <p>Si <b>Fibonacci</b> (<span class="nowrap"> <span title="Representation in the International Phonetic Alphabet (IPA)" class="IPA"><a href="/wiki/Wikipedia:IPA_for_English" class="mw-redirect" title="Wikipedia:IPA for English">/</a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="secondary stress" class="rt-commentedText" style="border-bottom:1px dotted">ˌ</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="&#39;f&#39; in &#39;find&#39;" class="rt-commentedText" style="border-bottom:1px dotted">f</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="short &#39;i&#39; in &#39;bid&#39;" class="rt-commentedText" style="border-bottom:1px dotted">ɪ</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="&#39;b&#39; in &#39;buy&#39;" class="rt-commentedText" style="border-bottom:1px dotted">b</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="schwa &#39;a&#39; in &#39;Rosa’s&#39;" class="rt-commentedText" style="border-bottom:1px dotted">ə</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="primary stress" class="rt-commentedText" style="border-bottom:1px dotted">ˈ</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="&#39;n&#39; in &#39;nigh&#39;" class="rt-commentedText" style="border-bottom:1px dotted">n</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="&#39;a&#39; in &#39;father&#39;" class="rt-commentedText" style="border-bottom:1px dotted">ɑː</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="&#39;ch&#39; in &#39;china&#39;" class="rt-commentedText" style="border-bottom:1px dotted">tʃ</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="&#39;y&#39; in &#39;happy&#39;" class="rt-commentedText" style="border-bottom:1px dotted">i</span></a></span><span title="Representation in the International Phonetic Alphabet (IPA)" class="IPA"><a href="/wiki/Wikipedia:IPA_for_English" class="mw-redirect" title="Wikipedia:IPA for English">/</a></span></span>;<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> <small>bigkas din</small> <span class="nowrap"><small>EU </small> <span title="Representation in the International Phonetic Alphabet (IPA)" class="IPA"><a href="/wiki/Wikipedia:IPA_for_English" class="mw-redirect" title="Wikipedia:IPA for English">/</a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="secondary stress" class="rt-commentedText" style="border-bottom:1px dotted">ˌ</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="&#39;f&#39; in &#39;find&#39;" class="rt-commentedText" style="border-bottom:1px dotted">f</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="long &#39;e&#39; in &#39;bead&#39;" class="rt-commentedText" style="border-bottom:1px dotted">iː</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="&#39;b&#39; in &#39;buy&#39;" class="rt-commentedText" style="border-bottom:1px dotted">b</span></a></span><span class="IPA"><a href="/wiki/Wikipedia:IPA_for_English#Key" class="mw-redirect" title="Wikipedia:IPA for English"><span title="the catch in &#39;uh-oh&#39;" class="rt-commentedText" style="border-bottom:1px dotted">ʔ</span></a></span><span title="Representation in the International Phonetic Alphabet (IPA)" class="IPA"><a href="/wiki/Wikipedia:IPA_for_English" class="mw-redirect" title="Wikipedia:IPA for English">/</a></span></span>,<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> <small>Italyano:&#160;</small><span title="Pronunciation in IPA" class="IPA"><a href="/wiki/Wikipedia:IPA_for_Italian" class="mw-redirect" title="Wikipedia:IPA for Italian">[fiboˈnattʃi]</a></span><small></small>; mga 1170 – mga 1240–50),<sup id="cite_ref-Knott_7-0" class="reference"><a href="#cite_note-Knott-7"><span class="cite-bracket">&#91;</span>6<span class="cite-bracket">&#93;</span></a></sup> kilala din bilang <b>Leonardo Bonacci</b>, <b>Leonardo of Pisa</b>, o <b>Leonardo Bigollo Pisano</b> ('Leonardo, ang Manlalakbay mula sa Pisa'<sup id="cite_ref-livio_8-0" class="reference"><a href="#cite_note-livio-8"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup>), ay isang <a href="/wiki/Italya" title="Italya">Italyanong</a> <a href="/wiki/Matematiko" title="Matematiko">matematiko</a> mula sa Republika ng <a href="/wiki/Pisa" title="Pisa">Pisa</a>, na tinuturing na "ang pinakatalentadong Kanluraning matematiko ng <a href="/wiki/Gitnang_Panahon" class="mw-redirect" title="Gitnang Panahon">Gitnang Panahon</a>".<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">&#91;</span>8<span class="cite-bracket">&#93;</span></a></sup> </p><p>Gawa-gawa lamang ang pangalan na karaniwan siyang kilala, ang <i>Fibonacci</i>, noong 1838 ni Guillaume Libri, isang Pranko-Italyanong dalubhasa sa kasaysayan<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">&#91;</span>9<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-Pask2015_11-0" class="reference"><a href="#cite_note-Pask2015-11"><span class="cite-bracket">&#91;</span>10<span class="cite-bracket">&#93;</span></a></sup> at pinaikling <i lang="la" title="Latin language text">filius Bonacci</i> ('anak ni Bonacci').<sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">&#91;</span>11<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">&#91;</span>b<span class="cite-bracket">&#93;</span></a></sup> Bagaman, kahit noong mas maagang 1506, isang notaryo ng Imperyong Romanong Perizolo ay binanggit si Leonardo bilang "Lionardo Fibonacci".<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">&#91;</span>12<span class="cite-bracket">&#93;</span></a></sup> </p><p>Pinasikat ni Fibonacci ang <a href="/wiki/Sistemang_pamilang" class="mw-redirect" title="Sistemang pamilang">sistemang pamilang</a> Hindu-Arabe sa <a href="/wiki/Kanluraning_mundo" class="mw-redirect" title="Kanluraning mundo">kanluraning mundo</a> sa pamamagitan ng kanyang komposisyon noong 1202 na <i>Liber Abaci</i> (<i>Aklat ng Kalkulasyon</i>).<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">&#91;</span>13<span class="cite-bracket">&#93;</span></a></sup><sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">&#91;</span>14<span class="cite-bracket">&#93;</span></a></sup> Ipinakilala din niya sa <a href="/wiki/Europa" title="Europa">Europa</a> ang pagkasunod-sunod na mga <a href="/wiki/Bilang_na_Fibonacci" title="Bilang na Fibonacci">bilang na Fibonacci</a>, na ginamit niyang halimbawa sa <i>Liber Abaci</i>.<sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">&#91;</span>15<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Mga_pananda">Mga pananda</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Fibonacci&amp;veaction=edit&amp;section=1" title="Baguhin seksiyon: Mga pananda" class="mw-editsection-visualeditor"><span>baguhin</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Fibonacci&amp;action=edit&amp;section=1" title="Edit section&#39;s source code: Mga pananda"><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 reflist-lower-alpha"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">Hindi alam ang aktuwal na itsura ni Fibonacci.<sup id="cite_ref-statue_1-0" class="reference"><a href="#cite_note-statue-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup></span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><a href="#cite_ref-13">↑</a></span> <span class="reference-text">Ang etimolohiya ng <i>Bonacci</i> ay "mabuting loob", kaya nangangahulugan ang buong pangalan niya bilang "anak ng isang mabuting loob [na pamilya]".<sup id="cite_ref-livio_8-1" class="reference"><a href="#cite_note-livio-8"><span class="cite-bracket">&#91;</span>7<span class="cite-bracket">&#93;</span></a></sup></span> </li> </ol></div></div> <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=Fibonacci&amp;veaction=edit&amp;section=2" 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=Fibonacci&amp;action=edit&amp;section=2" title="Edit section&#39;s source code: Mga sanggunian"><span>baguhin ang wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2121818" /><div class="reflist reflist-columns references-column-width" style="column-width: 30em;"> <ol class="references"> <li id="cite_note-statue-1"><span class="mw-cite-backlink"><a href="#cite_ref-statue_1-0">↑</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 class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://www.epsilones.com/paginas/artes/artes-027-historia-estatua-ingles.html">"Fibonacci's Statue in Pisa"</a> (sa wikang Ingles). Epsilones.com<span class="reference-accessdate">. Nakuha noong <span class="nowrap">2010-08-02</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Fibonacci%27s+Statue+in+Pisa&amp;rft.pub=Epsilones.com&amp;rft_id=http%3A%2F%2Fwww.epsilones.com%2Fpaginas%2Fartes%2Fartes-027-historia-estatua-ingles.html&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite id="CITEREFSmithKarpinski1911" class="citation cs2 cs1-prop-foreign-lang-source">Smith, David Eugene; Karpinski, Louis Charles (1911), <a rel="nofollow" class="external text" href="https://books.google.com/books?id=wEw6AAAAMAAJ&amp;pg=PA128"><i>The Hindu–Arabic Numerals</i></a> (sa wikang Ingles), Boston and London: Ginn and Company, p.&#160;128</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=The+Hindu%E2%80%93Arabic+Numerals&amp;rft.place=Boston+and+London&amp;rft.pages=128&amp;rft.pub=Ginn+and+Company&amp;rft.date=1911&amp;rft.aulast=Smith&amp;rft.aufirst=David+Eugene&amp;rft.au=Karpinski%2C+Louis+Charles&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DwEw6AAAAMAAJ%26pg%3DPA128&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span>.</span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="https://en.oxforddictionaries.com/definition/Fibonacci%2C+Leonardo">"Fibonacci, Leonardo"</a>. <i>"Oxford Dictionaries"</i> (sa wikang Ingles). Oxford University Press<span class="reference-accessdate">. Nakuha noong <span class="nowrap">23 Hunyo</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=%22Oxford+Dictionaries%22&amp;rft.atitle=Fibonacci%2C+Leonardo&amp;rft_id=https%3A%2F%2Fen.oxforddictionaries.com%2Fdefinition%2FFibonacci%252C%2BLeonardo&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://www.collinsdictionary.com/dictionary/english/fibonacci-series">"Fibonacci series"</a> at <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="https://www.collinsdictionary.com/dictionary/english/fibonacci-sequence">"Fibonacci sequence"</a>. <i>Collins English Dictionary</i> (sa wikang Ingles). HarperCollins<span class="reference-accessdate">. Nakuha noong <span class="nowrap">23 Hunyo</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Collins+English+Dictionary&amp;rft.atitle=Fibonacci+sequence&amp;rft_id=https%3A%2F%2Fwww.collinsdictionary.com%2Fdictionary%2Fenglish%2Ffibonacci-sequence&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><a href="#cite_ref-6">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="https://www.merriam-webster.com/dictionary/Fibonacci+number">"Fibonacci number"</a>. <i>Merriam-Webster Dictionary</i> (sa wikang Ingles)<span class="reference-accessdate">. Nakuha noong <span class="nowrap">23 Hunyo</span> 2019</span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Merriam-Webster+Dictionary&amp;rft.atitle=Fibonacci+number&amp;rft_id=https%3A%2F%2Fwww.merriam-webster.com%2Fdictionary%2FFibonacci%2Bnumber&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-Knott-7"><span class="mw-cite-backlink"><a href="#cite_ref-Knott_7-0">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite id="CITEREFMacTutor" class="citation web cs1 cs1-prop-foreign-lang-source">MacTutor, R. <a rel="nofollow" class="external text" href="http://www-history.mcs.st-and.ac.uk/Biographies/Fibonacci.html">"Leonardo Pisano Fibonacci"</a> (sa wikang Ingles). www-history.mcs.st-and.ac.uk<span class="reference-accessdate">. Nakuha noong <span class="nowrap">2018-12-22</span></span>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=unknown&amp;rft.btitle=Leonardo+Pisano+Fibonacci&amp;rft.pub=www-history.mcs.st-and.ac.uk&amp;rft.aulast=MacTutor&amp;rft.aufirst=R.&amp;rft_id=http%3A%2F%2Fwww-history.mcs.st-and.ac.uk%2FBiographies%2FFibonacci.html&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-livio-8"><span class="mw-cite-backlink">↑ <sup><a href="#cite_ref-livio_8-0">7.0</a></sup> <sup><a href="#cite_ref-livio_8-1">7.1</a></sup></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite id="CITEREFLivio2003" class="citation book cs1 cs1-prop-foreign-lang-source">Livio, Mario (2003) [2002]. <a rel="nofollow" class="external text" href="https://books.google.com/books?id=bUARfgWRH14C"><i>The Golden Ratio: The Story of Phi, the World's Most Astonishing Number</i></a> (sa wikang Ingles) (ika-1 (na) edisyon). New York City: Broadway Books. pp.&#160;92–93. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Natatangi:Mga_pinagmulang_aklat/0-7679-0816-3" title="Natatangi:Mga pinagmulang aklat/0-7679-0816-3"><bdi>0-7679-0816-3</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=The+Golden+Ratio%3A+The+Story+of+Phi%2C+the+World%27s+Most+Astonishing+Number&amp;rft.place=New+York+City&amp;rft.pages=92-93&amp;rft.edition=1&amp;rft.pub=Broadway+Books&amp;rft.date=2003&amp;rft.isbn=0-7679-0816-3&amp;rft.aulast=Livio&amp;rft.aufirst=Mario&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DbUARfgWRH14C&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><a href="#cite_ref-9">↑</a></span> <span class="reference-text">Eves, Howard. <i>An Introduction to the History of Mathematics</i>. Brooks Cole, 1990: <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="/wiki/Natatangi:Mga_pinagmulang_aklat/0-03-029558-0" title="Natatangi:Mga pinagmulang aklat/0-03-029558-0">0-03-029558-0</a> (ika-6 na ed.), p. 261 (sa Ingles).</span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><a href="#cite_ref-10">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite id="CITEREFDevlin2017" class="citation book cs1 cs1-prop-foreign-lang-source">Devlin, Keith (2017). <a rel="nofollow" class="external text" href="https://archive.org/details/findingfibonacci0000devl"><i>Finding Fibonacci: The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World</i></a> (sa wikang Nepali). Princeton University Press. p.&#160;<a rel="nofollow" class="external text" href="https://archive.org/details/findingfibonacci0000devl/page/24">24</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Finding+Fibonacci%3A+The+Quest+to+Rediscover+the+Forgotten+Mathematical+Genius+Who+Changed+the+World&amp;rft.pages=24&amp;rft.pub=Princeton+University+Press&amp;rft.date=2017&amp;rft.aulast=Devlin&amp;rft.aufirst=Keith&amp;rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Ffindingfibonacci0000devl&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-Pask2015-11"><span class="mw-cite-backlink"><a href="#cite_ref-Pask2015_11-0">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite id="CITEREFColin_Pask2015" class="citation book cs1 cs1-prop-foreign-lang-source">Colin Pask (7 Hulyo 2015). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=fvjIBAAAQBAJ&amp;pg=PT35"><i>Great Calculations: A Surprising Look Behind 50 Scientific Inquiries</i></a> (sa wikang Ingles). Prometheus Books. p.&#160;35. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Natatangi:Mga_pinagmulang_aklat/978-1-63388-029-0" title="Natatangi:Mga pinagmulang aklat/978-1-63388-029-0"><bdi>978-1-63388-029-0</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Great+Calculations%3A+A+Surprising+Look+Behind+50+Scientific+Inquiries&amp;rft.pages=35&amp;rft.pub=Prometheus+Books&amp;rft.date=2015-07-07&amp;rft.isbn=978-1-63388-029-0&amp;rft.au=Colin+Pask&amp;rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DfvjIBAAAQBAJ%26pg%3DPT35&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><a href="#cite_ref-12">↑</a></span> <span class="reference-text">Keith Devlin, <i>The Man of Numbers: Fibonacci's Arithmetic Revolution,</i>A&amp;C Black, 2012 p. 13. (sa Ingles)</span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><a href="#cite_ref-14">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite id="CITEREFDrozdyuk,_AndriyDrozdyuk,_Denys2010" class="citation book cs1 cs1-prop-foreign-lang-source">Drozdyuk, Andriy; Drozdyuk, Denys (2010). <a rel="nofollow" class="external text" href="https://nrc-publications.canada.ca/eng/view/fulltext/?id=fbfdddf4-d0e9-45fe-bef6-fe6d3cbecfa0"><i>Fibonacci, his numbers and his rabbits</i></a> (sa wikang Ingles). Toronto: Choven Pub. p.&#160;18. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&#160;<a href="/wiki/Natatangi:Mga_pinagmulang_aklat/978-0-9866300-1-9" title="Natatangi:Mga pinagmulang aklat/978-0-9866300-1-9"><bdi>978-0-9866300-1-9</bdi></a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a>&#160;<a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/813281753">813281753</a>.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=Fibonacci%2C+his+numbers+and+his+rabbits&amp;rft.place=Toronto&amp;rft.pages=18&amp;rft.pub=Choven+Pub&amp;rft.date=2010&amp;rft_id=info%3Aoclcnum%2F813281753&amp;rft.isbn=978-0-9866300-1-9&amp;rft.au=Drozdyuk%2C+Andriy&amp;rft.au=Drozdyuk%2C+Denys&amp;rft_id=https%3A%2F%2Fnrc-publications.canada.ca%2Feng%2Fview%2Ffulltext%2F%3Fid%3Dfbfdddf4-d0e9-45fe-bef6-fe6d3cbecfa0&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><a href="#cite_ref-15">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r2132731" /><cite class="citation web cs1 cs1-prop-foreign-lang-source"><a rel="nofollow" class="external text" href="http://www.halexandria.org/dward093.htm">"Fibonacci Numbers"</a>. <i>www.halexandria.org</i> (sa wikang Ingles).</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=www.halexandria.org&amp;rft.atitle=Fibonacci+Numbers&amp;rft_id=http%3A%2F%2Fwww.halexandria.org%2Fdward093.htm&amp;rfr_id=info%3Asid%2Ftl.wikipedia.org%3AFibonacci" class="Z3988"></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><a href="#cite_ref-16">↑</a></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.britannica.com/eb/article-4153/Leonardo-Pisano">Leonardo Pisano: "Contributions to number theory"</a>. <a href="/wiki/Encyclop%C3%A6dia_Britannica" title="Encyclopædia Britannica">Encyclopædia Britannica</a> Online, 2006. p. 3. Hinango noong 18 Setyembre 2006 (sa Ingles).</span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><a href="#cite_ref-17">↑</a></span> <span class="reference-text">Singh, Parmanand. "Acharya Hemachandra and the (so called) Fibonacci Numbers". <i>Math</i>. Ed. Siwan, 20(1):28–30, 1986. <a href="/w/index.php?title=International_Standard_Serial_Number&amp;action=edit&amp;redlink=1" class="new" title="International Standard Serial Number (hindi pa naisusulat)">ISSN</a>&#160;<a rel="nofollow" class="external text" href="http://www.worldcat.org/issn/0047-6269">0047-6269</a>] (sa Ingles)</span> </li> </ol></div> <p><span typeof="mw:File"><a href="/wiki/Talaksan:NewtonDetail.jpg" class="mw-file-description" title="Matematiko"><img alt="Matematiko" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/NewtonDetail.jpg/35px-NewtonDetail.jpg" decoding="async" width="35" height="35" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/35/NewtonDetail.jpg/53px-NewtonDetail.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/35/NewtonDetail.jpg/70px-NewtonDetail.jpg 2x" data-file-width="350" data-file-height="350" /></a></span> <i>Ang lathalaing ito na tungkol sa <b>Matematiko</b> ay isang <a href="/wiki/Wikipedia:Usbong" title="Wikipedia:Usbong">usbong</a>. 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