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Centrerat polygontal – Wikipedia

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id="toc-Exempel-sublist" class="vector-toc-list"> <li id="toc-Centrerade_kvadrattal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Centrerade_kvadrattal"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>Centrerade kvadrattal</span> </div> </a> <ul id="toc-Centrerade_kvadrattal-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Centrerade_hexagontal" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Centrerade_hexagontal"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>Centrerade hexagontal</span> </div> </a> <ul id="toc-Centrerade_hexagontal-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Formler" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Formler"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Formler</span> </div> </a> <ul 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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">Växla innehållsförteckningen</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">Centrerat polygontal</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="Gå till en artikel på ett annat språk. Tillgänglig på 18 språk" > <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-18" 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">18 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B9%D8%AF%D8%AF_%D9%85%D9%85%D8%B1%D9%83%D8%B2_%D9%85%D8%B6%D9%84%D8%B9" title="عدد ممركز مضلع – arabiska" lang="ar" hreflang="ar" data-title="عدد ممركز مضلع" data-language-autonym="العربية" data-language-local-name="arabiska" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Zentrierte_Polygonalzahl" title="Zentrierte Polygonalzahl – tyska" lang="de" hreflang="de" data-title="Zentrierte Polygonalzahl" data-language-autonym="Deutsch" data-language-local-name="tyska" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/N%C3%B9mer_poligon%C3%A8l_sentr%C3%AA" title="Nùmer poligonèl sentrê – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Nùmer poligonèl sentrê" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Centered_polygonal_number" title="Centered polygonal number – engelska" lang="en" hreflang="en" data-title="Centered polygonal number" data-language-autonym="English" data-language-local-name="engelska" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/N%C3%BAmero_poligonal_centrado" title="Número poligonal centrado – spanska" lang="es" hreflang="es" data-title="Número poligonal centrado" data-language-autonym="Español" data-language-local-name="spanska" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Centrita_plurlatera_nombro" title="Centrita plurlatera nombro – esperanto" lang="eo" hreflang="eo" data-title="Centrita plurlatera nombro" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Nombre_polygonal_centr%C3%A9" title="Nombre polygonal centré – franska" lang="fr" hreflang="fr" data-title="Nombre polygonal centré" data-language-autonym="Français" data-language-local-name="franska" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BF%D5%A5%D5%B6%D5%BF%D6%80%D5%B8%D5%B6%D5%A1%D6%81%D5%BE%D5%A1%D5%AE_%D5%A2%D5%A1%D5%A6%D5%B4%D5%A1%D5%B6%D5%AF%D5%B5%D5%B8%D6%82%D5%B6_%D5%A9%D5%BE%D5%A5%D6%80" title="Կենտրոնացված բազմանկյուն թվեր – armeniska" lang="hy" hreflang="hy" data-title="Կենտրոնացված բազմանկյուն թվեր" data-language-autonym="Հայերեն" data-language-local-name="armeniska" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_poligonale_centrato" title="Numero poligonale centrato – italienska" lang="it" hreflang="it" data-title="Numero poligonale centrato" data-language-autonym="Italiano" data-language-local-name="italienska" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/K%C3%B6z%C3%A9ppontos_soksz%C3%B6gsz%C3%A1mok" title="Középpontos sokszögszámok – ungerska" lang="hu" hreflang="hu" data-title="Középpontos sokszögszámok" data-language-autonym="Magyar" data-language-local-name="ungerska" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Gecentreerd_veelhoeksgetal" title="Gecentreerd veelhoeksgetal – nederländska" lang="nl" hreflang="nl" data-title="Gecentreerd veelhoeksgetal" data-language-autonym="Nederlands" data-language-local-name="nederländska" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E4%B8%AD%E5%BF%83%E3%81%A4%E3%81%8D%E5%A4%9A%E8%A7%92%E6%95%B0" title="中心つき多角数 – japanska" lang="ja" hreflang="ja" data-title="中心つき多角数" data-language-autonym="日本語" data-language-local-name="japanska" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/N%C3%BAmero_poligonal_centrado" title="Número poligonal centrado – portugisiska" lang="pt" hreflang="pt" data-title="Número poligonal centrado" data-language-autonym="Português" data-language-local-name="portugisiska" 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/Num%C4%83r_centrat_poligonal" title="Număr centrat poligonal – rumänska" lang="ro" hreflang="ro" data-title="Număr centrat poligonal" data-language-autonym="Română" data-language-local-name="rumänska" 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%A6%D0%B5%D0%BD%D1%82%D1%80%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%BD%D1%8B%D0%B5_%D0%BC%D0%BD%D0%BE%D0%B3%D0%BE%D1%83%D0%B3%D0%BE%D0%BB%D1%8C%D0%BD%D1%8B%D0%B5_%D1%87%D0%B8%D1%81%D0%BB%D0%B0" title="Центрированные многоугольные числа – ryska" lang="ru" hreflang="ru" data-title="Центрированные многоугольные числа" data-language-autonym="Русский" data-language-local-name="ryska" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AF%88%E0%AE%AF%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AE%9F%E0%AF%81%E0%AE%A4%E0%AF%8D%E0%AE%A4%E0%AE%AA%E0%AF%8D%E0%AE%AA%E0%AE%9F%E0%AF%8D%E0%AE%9F_%E0%AE%AA%E0%AE%B2%E0%AE%95%E0%AF%8B%E0%AE%A3_%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="மையப்படுத்தப்பட்ட பலகோண எண் – tamil" lang="ta" hreflang="ta" data-title="மையப்படுத்தப்பட்ட பலகோண எண்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A6%D0%B5%D0%BD%D1%82%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D1%96_%D0%B1%D0%B0%D0%B3%D0%B0%D1%82%D0%BE%D0%BA%D1%83%D1%82%D0%BD%D1%96_%D1%87%D0%B8%D1%81%D0%BB%D0%B0" title="Центровані багатокутні числа – ukrainska" lang="uk" hreflang="uk" data-title="Центровані багатокутні числа" data-language-autonym="Українська" data-language-local-name="ukrainska" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E4%B8%AD%E5%BF%83%E5%A4%9A%E9%82%8A%E5%BD%A2%E6%95%B8" title="中心多邊形數 – kinesiska" lang="zh" hreflang="zh" data-title="中心多邊形數" data-language-autonym="中文" data-language-local-name="kinesiska" class="interlanguage-link-target"><span>中文</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/Q190898#sitelinks-wikipedia" title="Redigera interwikilänkar" class="wbc-editpage">Redigera länkar</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="Namnrymder"> <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/Centrerat_polygontal" title="Visa innehållssidan [c]" accesskey="c"><span>Artikel</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Diskussion:Centrerat_polygontal&amp;action=edit&amp;redlink=1" rel="discussion" class="new" title="Diskussion om innehållssidan [inte skriven än] [t]" accesskey="t"><span>Diskussion</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="Ändra språkvariant" > <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">svenska</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="Visningar"> <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/Centrerat_polygontal"><span>Läs</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Centrerat_polygontal&amp;veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Centrerat_polygontal&amp;action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Centrerat_polygontal&amp;action=history" title="Tidigare versioner av sidan [h]" accesskey="h"><span>Visa historik</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Sidverktyg"> <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="Verktyg" > <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">Verktyg</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">Verktyg</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">dölj</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Fler alternativ" > <div class="vector-menu-heading"> Åtgärder </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/Centrerat_polygontal"><span>Läs</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Centrerat_polygontal&amp;veaction=edit" title="Redigera denna sida [v]" accesskey="v"><span>Redigera</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Centrerat_polygontal&amp;action=edit" title="Redigera wikitexten för den här sidan [e]" accesskey="e"><span>Redigera wikitext</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Centrerat_polygontal&amp;action=history"><span>Visa historik</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Allmänt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Special:L%C3%A4nkar_hit/Centrerat_polygontal" title="Lista över alla wikisidor som länkar hit [j]" accesskey="j"><span>Sidor som länkar hit</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Special:Senaste_relaterade_%C3%A4ndringar/Centrerat_polygontal" rel="nofollow" title="Visa senaste ändringarna av sidor som den här sidan länkar till [k]" accesskey="k"><span>Relaterade ändringar</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Special:Specialsidor" title="Lista över alla specialsidor [q]" accesskey="q"><span>Specialsidor</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Centrerat_polygontal&amp;oldid=54314004" title="Permanent länk till den här versionen av sidan"><span>Permanent länk</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Centrerat_polygontal&amp;action=info" title="Mer information om denna sida"><span>Sidinformation</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Special:Citera&amp;page=Centrerat_polygontal&amp;id=54314004&amp;wpFormIdentifier=titleform" title="Information om hur den här artikeln kan användas som referens"><span>Använd som referens</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Special:UrlShortener&amp;url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FCentrerat_polygontal"><span>Hämta förkortad url</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&amp;url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FCentrerat_polygontal"><span>Ladda ner QR-kod</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"> Skriv ut/exportera </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=Special:Bok&amp;bookcmd=book_creator&amp;referer=Centrerat+polygontal"><span>Skapa en bok</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Special:DownloadAsPdf&amp;page=Centrerat_polygontal&amp;action=show-download-screen"><span>Ladda ned som PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Centrerat_polygontal&amp;printable=yes" title="Utskriftsvänlig version av den här sidan [p]" accesskey="p"><span>Utskriftsvänlig version</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"> På andra projekt </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a 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id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sv" dir="ltr"><div class="noexcerpt noprint hanvisning_bas"> <dl><dd><i>Ej att förväxla med&#32;<a href="/w/index.php?title=Centralt_polygontal&amp;action=edit&amp;redlink=1" class="new" title="Centralt polygontal [inte skriven än]">Centralt polygontal</a>.</i></dd></dl></div> <p><b>Centrerat polygontal</b> är ett <a href="/wiki/Tal" title="Tal">tal</a> som representerar en <a href="/wiki/Polygon" title="Polygon">polygon</a> med en punkt i mitten, och som byggs vidare av punkter kring den. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Exempel">Exempel</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Centrerat_polygontal&amp;veaction=edit&amp;section=1" title="Redigera avsnitt: Exempel" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Centrerat_polygontal&amp;action=edit&amp;section=1" title="Redigera avsnitts källkod: Exempel"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Varje talföljd är en <a href="/wiki/Multipel" title="Multipel">multipel</a> av <a href="/wiki/Triangeltal" title="Triangeltal">triangeltalen</a> plus 1. Exempelvis är de centrerade kvadrattalen fyra gånger triangeltalen plus 1. </p><p>De första centrerade polygontalen är: </p> <ul><li><a href="/wiki/Centrerat_triangeltal" title="Centrerat triangeltal">Centrerade triangeltal</a>: 1, 4, 10, 19, 31, … (talföljd <a href="//oeis.org/A005448" class="extiw" title="oeis:A005448">A005448</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</li> <li><a href="/wiki/Centrerat_kvadrattal" title="Centrerat kvadrattal">Centrerade kvadrattal</a>: 1, 5, 13, 25, 41, … (talföljd <a href="//oeis.org/A001844" class="extiw" title="oeis:A001844">A001844</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</li> <li><a href="/wiki/Centrerat_pentagontal" title="Centrerat pentagontal">Centrerade pentagontal</a>: 1, 6, 16, 31, 51, … (talföljd <a href="//oeis.org/A005891" class="extiw" title="oeis:A005891">A005891</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</li> <li><a href="/wiki/Centrerat_hexagontal" title="Centrerat hexagontal">Centrerade hexagontal</a>: 1, 7, 19, 37, 61, … (talföljd <a href="//oeis.org/A003215" class="extiw" title="oeis:A003215">A003215</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</li> <li><a href="/wiki/Centrerat_heptagontal" title="Centrerat heptagontal">Centrerade heptagontal</a>: 1, 8, 22, 43, 71, … (talföljd <a href="//oeis.org/A069099" class="extiw" title="oeis:A069099">A069099</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</li> <li><a href="/wiki/Centrerat_oktogontal" title="Centrerat oktogontal">Centrerade oktogontal</a>: 1, 9, 25, 49, 81, … (talföljd <a href="//oeis.org/A016754" class="extiw" title="oeis:A016754">A016754</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</li> <li><a href="/wiki/Centrerat_nonagontal" title="Centrerat nonagontal">Centrerade nonagontal</a>: 1, 10, 28, 55, 91, … (talföljd <a href="//oeis.org/A060544" class="extiw" title="oeis:A060544">A060544</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>) <sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-reference-link-bracket">[</span>a<span class="cite-reference-link-bracket">]</span></a></sup></li> <li><a href="/wiki/Centrerat_dekagontal" title="Centrerat dekagontal">Centrerade dekagontal</a>: 1, 11, 31, 61, 101, … (talföljd <a href="//oeis.org/A062786" class="extiw" title="oeis:A062786">A062786</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</li> <li><a href="/w/index.php?title=Centrerat_hendekagontal&amp;action=edit&amp;redlink=1" class="new" title="Centrerat hendekagontal [inte skriven än]">Centrerade hendekagontal</a>: 1, 12, 34, 67, 111, … (talföljd <a href="//oeis.org/A069125" class="extiw" title="oeis:A069125">A069125</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</li> <li><a href="/w/index.php?title=Centrerat_dodekagontal&amp;action=edit&amp;redlink=1" class="new" title="Centrerat dodekagontal [inte skriven än]">Centrerade dodekagontal</a>: 1, 13, 37, 73, 121, … (talföljd <a href="//oeis.org/A003154" class="extiw" title="oeis:A003154">A003154</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</li></ul> <p><br /> </p> <dl><dt>Kommentarer</dt></dl> <style data-mw-deduplicate="TemplateStyles:r47958313">.mw-parser-output .fotnotslista .references{list-style-type:inherit}.mw-parser-output .skin-minerva .fotnotslista .references{list-style-type:lower-alpha}</style><div class="fotnotslista" style="list-style-type: lower-alpha;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1">^</a> <span class="reference-text">Alla <a href="/wiki/Perfekt_tal" title="Perfekt tal">perfekta tal</a> förutom 6 är även centrerade nonagontal</span> </li> </ol></div></div> <p>Nedan visas exempel på geometriska konstruktioner till några centrerade polygontal. 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typeof="mw:File"><a href="/wiki/Fil:RedDot.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/RedDot.svg/16px-RedDot.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ec/RedDot.svg/24px-RedDot.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ec/RedDot.svg/32px-RedDot.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:RedDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cc/RedDotX.svg/16px-RedDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cc/RedDotX.svg/24px-RedDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cc/RedDotX.svg/32px-RedDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span><span typeof="mw:File"><a href="/wiki/Fil:RedDotX.svg" class="mw-file-description" title="*"><img alt="*" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cc/RedDotX.svg/16px-RedDotX.svg.png" decoding="async" width="16" height="14" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cc/RedDotX.svg/24px-RedDotX.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cc/RedDotX.svg/32px-RedDotX.svg.png 2x" data-file-width="20" data-file-height="17" /></a></span> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Formler">Formler</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Centrerat_polygontal&amp;veaction=edit&amp;section=4" title="Redigera avsnitt: Formler" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Centrerat_polygontal&amp;action=edit&amp;section=4" title="Redigera avsnitts källkod: Formler"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Så som kan ses ovan kan det <i>n</i>:te centrerade <i>k</i>-gontalet ges genom att placera <i>k</i> kopior av det (<i>n</i>&#160;−&#160;1):te triangeltalet kring en central punkt. Därav kan det <i>n</i>:te centrerade <i>k</i>-gontalet rent matematiskt representeras av </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 C_{k,n}={\frac {kn}{2}}(n-1)+1.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> <mo>,</mo> <mi>n</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <mi>k</mi> <mi>n</mi> </mrow> <mn>2</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>n</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mn>1.</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{k,n}={\frac {kn}{2}}(n-1)+1.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/781ef398fa50dae733e9a581b4678984894a6fe9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:22.591ex; height:5.343ex;" alt="{\displaystyle C_{k,n}={\frac {kn}{2}}(n-1)+1.}"></span></dd></dl> <p>Precis som reguljära polygontal är det första centrerade <i>k</i>-gontalet alltid 1. Således, för något <i>k</i>, är 1 både <i>k</i>-gontal och centrerat <i>k</i>-gontal. Nästa tal i talföljden för både reguljära <i>k</i>-gontal och centrerade <i>k</i>-gontal kan ges av formeln: </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 {\frac {k^{2}}{2}}(k-1)+1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>k</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mn>2</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <mi>k</mi> <mo>&#x2212;<!-- − --></mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo>+</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {k^{2}}{2}}(k-1)+1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1f3cb08cb1aef89f6fa22de7f6b01b7a8799c99d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:14.128ex; height:5.676ex;" alt="{\displaystyle {\frac {k^{2}}{2}}(k-1)+1}"></span></dd></dl> <p>som visar att 10 både är reguljärt triangeltal och centrerat triangeltal och 25 både är reguljärt kvadrattal och centrerat kvadrattal. </p><p>Ett <a href="/wiki/Primtal" title="Primtal">primtal</a> <i>p</i> kan inte vara reguljärt polygontal utom att varje <i>p</i> är det andra <i>p</i>-gontalet. Däremot är många centrerade polygontal även primtal. </p> <div class="mw-heading mw-heading2"><h2 id="Källor"><span id="K.C3.A4llor"></span>Källor</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Centrerat_polygontal&amp;veaction=edit&amp;section=5" title="Redigera avsnitt: Källor" class="mw-editsection-visualeditor"><span>redigera</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Centrerat_polygontal&amp;action=edit&amp;section=5" title="Redigera avsnitts källkod: Källor"><span>redigera wikitext</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li class="mw-empty-elt"></li></ul> <dl><dd><span class="plainlinks"><i>Den här artikeln är helt eller delvis baserad på material från <a href="/wiki/Engelskspr%C3%A5kiga_Wikipedia" title="Engelskspråkiga Wikipedia">engelskspråkiga Wikipedia</a>, <a class="external text" href="https://en.wikipedia.org/wiki/Centered_polygonal_number">Centered polygonal number</a>, <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Centered_polygonal_number&amp;oldid=564006527">3 augusti 2013</a>.</i></span></dd></dl> <ul><li><cite style="font-style:normal" class="book" id="CITEREFNeil_Sloane_&amp;_Simon_Plouffe1995"><a href="/w/index.php?title=Neil_Sloane&amp;action=edit&amp;redlink=1" class="new" title="Neil Sloane [inte skriven än]">Neil Sloane</a> &amp; <a href="/wiki/Simon_Plouffe" title="Simon Plouffe">Simon Plouffe</a>&#32;(1995).&#32;<i><span></span></i>The Encyclopedia of Integer Sequences<i></i>. San Diego: Academic Press</cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=%27%27The+Encyclopedia+of+Integer+Sequences%27%27&amp;rft.aulast=%5B%5BNeil+Sloane%5D%5D+%26+%5B%5BSimon+Plouffe%5D%5D&amp;rft.au=%5B%5BNeil+Sloane%5D%5D+%26+%5B%5BSimon+Plouffe%5D%5D&amp;rft.date=1995&amp;rft.pub=San+Diego%3A+Academic+Press&amp;rfr_id=info:sid/en.wikipedia.org:Centrerat_polygontal"><span style="display: none;">&#160;</span></span>: Fig. M3826</li> <li>Weisstein, Eric W., "<a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/CenteredPolygonalNumber.html">Centered polygonal number</a>", <i><a href="/wiki/MathWorld" class="mw-redirect" title="MathWorld">MathWorld</a></i>.</li> <li><cite style="font-style:normal" class="book" id="CITEREFF._Tapson1999">F. Tapson&#32;(1999).&#32;<i><span>The Oxford Mathematics Study Dictionary</span></i>&#32;(2nd). Oxford University Press. sid.&#160;88–89. <a href="/wiki/Special:Bokk%C3%A4llor/0-19-914-567-9" title="Special:Bokkällor/0-19-914-567-9">ISBN 0-19-914-567-9</a></cite><span class="Z3988" title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&amp;rft.genre=book&amp;rft.btitle=The+Oxford+Mathematics+Study+Dictionary&amp;rft.aulast=F.+Tapson&amp;rft.au=F.+Tapson&amp;rft.date=1999&amp;rft.pages=sid.%26nbsp%3B88%E2%80%9389&amp;rft.edition=2nd&amp;rft.pub=Oxford+University+Press&amp;rft.isbn=0-19-914-567-9&amp;rfr_id=info:sid/en.wikipedia.org:Centrerat_polygontal"><span style="display: none;">&#160;</span></span></li></ul> <style data-mw-deduplicate="TemplateStyles:r56287950">.mw-parser-output table.navbox{border:#aaa 1px solid;width:100%;margin:auto;margin-top:1em;clear:both;font-size:88%;text-align:center;padding:1px}.mw-parser-output link+table.navbox{margin-top:-1px}.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow,.mw-parser-output table.navbox 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title="Naturliga tal">Naturliga tal</a> (ℕ)</span></th></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-group" style=";;">&#160;Heltalspotenser</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Akillestal" title="Akillestal">Akilles</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Tv%C3%A5potens" title="Tvåpotens">Tvåpotens</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Tiopotens" title="Tiopotens">Tiopotens</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">Kvadrat</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kub_(aritmetik)" title="Kub (aritmetik)">Kub</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Fj%C3%A4rde_potens" title="Fjärde potens">Fjärde potens</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Femte_potens" title="Femte potens">Femte potens</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Primtalspotens" title="Primtalspotens">Primtalspotens</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">&#160;Av formen <i>a</i>&#160;×&#160;2<sup><i>b</i></sup>&#160;±&#160;1</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Cullental" title="Cullental">Cullen</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Dubbelt_Mersennetal" title="Dubbelt Mersennetal">Dubbelt Mersenne</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Fermattal" title="Fermattal">Fermat</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Mersennetal" class="mw-redirect" title="Mersennetal">Mersenne</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Prothtal" title="Prothtal">Proth</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Thabittal" title="Thabittal">Thabit</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Woodalltal" title="Woodalltal">Woodall</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Andra polynomtal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Caroltal" title="Caroltal">Carol</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hilberttal" title="Hilberttal">Hilbert</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kyneatal" title="Kyneatal">Kynea</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Leylandtal" title="Leylandtal">Leyland</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Eulers_lyckotal" title="Eulers lyckotal">Eulers lyckotal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Rekursion" title="Rekursion">Rekursivt</a> definierade tal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Fibonaccital" title="Fibonaccital">Fibonacci</a> (Ordning: <a href="/wiki/Tribonaccital" title="Tribonaccital">3</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Tetranaccital" title="Tetranaccital">4</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Pentanaccital" title="Pentanaccital">5</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hexanaccital" title="Hexanaccital">6</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Heptanaccital" title="Heptanaccital">7</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Oktanaccital" title="Oktanaccital">8</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Nonaccital" title="Nonaccital">9</a>)<span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Jacobsthaltal" title="Jacobsthaltal">Jacobsthal</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Leonardotal" title="Leonardotal">Leonardo</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Perrintal" title="Perrintal">Perrin</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Ospecifika <a href="/wiki/M%C3%A4ngd" title="Mängd">mängder</a> av andra <a href="/wiki/Tal" title="Tal">tal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Kn%C3%B6deltal" title="Knödeltal">Knödel</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Uttryckbara via specifika summor</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Praktiskt_tal" title="Praktiskt tal">Praktiskt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Prim%C3%A4rt_pseudoperfekt_tal" title="Primärt pseudoperfekt tal">Primärt pseudoperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Ulamtal" title="Ulamtal">Ulam</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Wolstenholmetal" title="Wolstenholmetal">Wolstenholme</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Genererade via ett <a href="/w/index.php?title=S%C3%A5ll_(matematik)&amp;action=edit&amp;redlink=1" class="new" title="Såll (matematik) [inte skriven än]">såll</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Lyckotal" title="Lyckotal">Lyckotal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Kodning" title="Kodning">Kodrelaterade</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Meertenstal" title="Meertenstal">Meertens</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Figurtal" title="Figurtal">Figurtal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/2D" class="mw-redirect" title="2D">2D</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Polygontal" title="Polygontal">Icke-centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Triangeltal" title="Triangeltal">Triangel</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">Kvadrat</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Pentagontal" title="Pentagontal">5∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hexagontal" title="Hexagontal">6∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Heptagontal" title="Heptagontal">7∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Oktogontal" title="Oktogontal">8∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Nonagontal" title="Nonagontal">9∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Dekagontal" title="Dekagontal">10∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hendekagontal" title="Hendekagontal">11∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Dodekagontal" title="Dodekagontal">12∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Tridekagontal" title="Tridekagontal">13∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Tetradekagontal" title="Tetradekagontal">14∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Pentadekagontal" title="Pentadekagontal">15∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hexadekagontal" title="Hexadekagontal">16∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Heptadekagontal" title="Heptadekagontal">17∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Oktodekagontal" title="Oktodekagontal">18∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Nonadekagontal" title="Nonadekagontal">19∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Ikosagontal" title="Ikosagontal">20∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Ikosihenagontal" title="Ikosihenagontal">21∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Ikosidigontal" title="Ikosidigontal">22∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Ikositrigontal" title="Ikositrigontal">23∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Ikositetragontal" title="Ikositetragontal">24∡</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Myriagontal" title="Myriagontal">Myriagon</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Rektangeltal" title="Rektangeltal">Rektangel</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a class="mw-selflink selflink">Centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Centrerat_triangeltal" title="Centrerat triangeltal">Centrerad triangel</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_kvadrattal" title="Centrerat kvadrattal">Centrerad kvadrat</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_pentagontal" title="Centrerat pentagontal">Centrerad pentagon</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_hexagontal" title="Centrerat hexagontal">Centrerad hexagon</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_heptagontal" title="Centrerat heptagontal">Centrerad heptagon</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_oktogontal" title="Centrerat oktogontal">Centrerad oktogon</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_nonagontal" title="Centrerat nonagontal">Centrerad nonagon</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_dekagontal" title="Centrerat dekagontal">Centrerad dekagon</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Stj%C3%A4rntal" title="Stjärntal">Stjärna</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/3D" class="mw-redirect" title="3D">3D</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Polyedertal" class="mw-redirect" title="Polyedertal">Icke-centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Tetraedertal" title="Tetraedertal">Tetraeder</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kub_(aritmetik)" title="Kub (aritmetik)">Kubiktal</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Oktaedertal" title="Oktaedertal">Oktaeder</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Dodekaedertal" title="Dodekaedertal">Dodekaeder</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Ikosaedertal" title="Ikosaedertal">Ikosaeder</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Centrerat_polyedertal" title="Centrerat polyedertal">Centrerade</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Centrerat_tetraedertal" title="Centrerat tetraedertal">Centrerad tetraeder</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_kubiktal" title="Centrerat kubiktal">Centrerad kub</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_oktaedertal" title="Centrerat oktaedertal">Centrerad oktaeder</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_dodekaedertal" title="Centrerat dodekaedertal">Centrerad dodekaeder</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Centrerat_ikosaedertal" title="Centrerat ikosaedertal">Centrerad ikosaeder</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/Pyramidtal" title="Pyramidtal">Pyramidtal</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Pentagonalt_pyramidtal" title="Pentagonalt pyramidtal">Pentagonal pyramid</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hexagonalt_pyramidtal" title="Hexagonalt pyramidtal">Hexagonal pyramid</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Heptagonalt_pyramidtal" title="Heptagonalt pyramidtal">Heptagonal pyramid</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;"><a href="/wiki/4D" class="mw-redirect" title="4D">4D</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Tesserakttal" title="Tesserakttal">Tesserakt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kvadrattriangul%C3%A4rt_tal" title="Kvadrattriangulärt tal">Kvadrattriangulärt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kubkvadrat" class="mw-redirect" title="Kubkvadrat">Kubkvadrat</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Pseudoprimtal" title="Pseudoprimtal">Pseudoprimtal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Carmichaeltal" title="Carmichaeltal">Carmichael</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Elliptiskt_pseudoprimtal" title="Elliptiskt pseudoprimtal">Elliptiskt pseudoprimtal</a><span style="font-weight:bold;">&#160;· </span></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Kombinatorik" title="Kombinatorik">Kombinatoriska tal</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Belltal" title="Belltal">Bell</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Catalantal" title="Catalantal">Catalan</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Fuss%E2%80%93Catalantal" title="Fuss–Catalantal">Fuss–Catalan</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Motzkintal" title="Motzkintal">Motzkin</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Schr%C3%B6dertal" title="Schrödertal">Schröder</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Aritmetisk_funktion" title="Aritmetisk funktion">Aritmetiska funktioner</a></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r56287950"></div><table class="navbox-subgroup" style="width:100%;border-spacing:0;;;;"><tbody><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Genom egenskaper hos <a href="/wiki/Sigmafunktionen" title="Sigmafunktionen">σ(<i>n</i>)</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Ymnigt_tal" title="Ymnigt tal">Ymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/N%C3%A4stan-perfekt_tal" title="Nästan-perfekt tal">Nästan-perfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Aritmetiskt_tal" title="Aritmetiskt tal">Aritmetiskt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kolossalt_ymnigt_tal" title="Kolossalt ymnigt tal">Kolossalt ymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Descartestal" title="Descartestal">Descartes</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hemiperfekt_tal" title="Hemiperfekt tal">Hemiperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Mycket_ymnigt_tal" title="Mycket ymnigt tal">Mycket ymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Hyperperfekt_tal" title="Hyperperfekt tal">Hyperperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Multiperfekt_tal" title="Multiperfekt tal">Multiperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Perfekt_tal" title="Perfekt tal">Perfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Primitivt_ymnigt_tal" title="Primitivt ymnigt tal">Primitivt ymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kvasiperfekt_tal" title="Kvasiperfekt tal">Kvasiperfekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Superymnigt_tal" title="Superymnigt tal">Superymnigt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Mycket_h%C3%B6gt_sammansatt_tal" title="Mycket högt sammansatt tal">Mycket högt sammansatt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Superperfekt_tal" title="Superperfekt tal">Superfekt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Genom egenskaper hos <a href="/wiki/Aritmetisk_funktion" title="Aritmetisk funktion">Ω(<i>n</i>)</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/N%C3%A4stan-primtal" title="Nästan-primtal">Nästan-primtal</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Semiprimtal" title="Semiprimtal">Semiprimtal</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Genom egenskaper hos <a href="/wiki/Sigmafunktionen#Definition" title="Sigmafunktionen">s(<i>n</i>)</a></div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/V%C3%A4nskapligt_tal" title="Vänskapligt tal">Vänskapligt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kvasiv%C3%A4nskapligt_tal" title="Kvasivänskapligt tal">Kvasivänskapligt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Defekt_tal" title="Defekt tal">Defekt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Semiperfekt_tal" title="Semiperfekt tal">Semiperfekt</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";padding-left:0em;padding-right:0em;;"><div style="padding:0em 0.75em;">Övriga tal</div></td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Euklidestal" title="Euklidestal">Euklides</a></div></td></tr></tbody></table><div></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;">Andra <a href="/wiki/Primtalsfaktor" title="Primtalsfaktor">primtalsfaktor</a>- eller <br /><a href="/wiki/Delbarhet" title="Delbarhet">delbarhetsrelarerade</a> tal</td><td style="text-align:left;border-left:2px solid #fdfdfd;width:100%;padding:0px;;;" class="navbox-list navbox-"><div style="padding:0em 0.25em"><a href="/wiki/Erd%C5%91s%E2%80%93Woodstal" title="Erdős–Woodstal">Erdős–Woods</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Frugalt_tal" title="Frugalt tal">Frugalt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Giugatal" title="Giugatal">Giuga</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Mycket_sammansatt_tal" title="Mycket sammansatt tal">Mycket sammansatt</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Lucas%E2%80%93Carmichaeltal" title="Lucas–Carmichaeltal">Lucas–Carmichael</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Rektangeltal" title="Rektangeltal">Rektangel</a><span style="font-weight:bold;">&#160;· </span> 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style="font-weight:bold;">&#160;· </span> <a href="/wiki/Glada_tal" title="Glada tal">Glada</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Harshadtal" title="Harshadtal">Harshad</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Kaprekartal" title="Kaprekartal">Kaprekar</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Keithtal" title="Keithtal">Keith</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Lychreltal" class="mw-redirect" title="Lychreltal">Lychrel</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Palindromtal" title="Palindromtal">Palindrom</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Smarandache%E2%80%93Wellintal" title="Smarandache–Wellintal">Smarandache–Wellin</a><span style="font-weight:bold;">&#160;· </span> <a href="/wiki/Vampyrtal" title="Vampyrtal">Vampyr</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a 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