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Centrerat kubiktal – Wikipedia
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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Logga in</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Sidor för utloggade redigerare <a href="/wiki/Hj%C3%A4lp:Introduktion" aria-label="Läs mer om redigering"><span>läs mer</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Special:Mina_bidrag" title="En lista över redigeringar från denna IP-adress [y]" accesskey="y"><span>Bidrag</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Special:Min_diskussion" title="Diskussion om redigeringar från det här IP-numret [n]" accesskey="n"><span>Diskussion</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Webbplats"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Innehåll" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Innehåll</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">dölj</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Inledning</div> </a> </li> <li id="toc-Källor" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Källor"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Källor</span> </div> </a> <ul id="toc-Källor-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Innehåll" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Växla innehållsförteckningen" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">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 kubiktal</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 10 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-10" 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">10 språk</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Zentrierte_Kubikzahl" title="Zentrierte Kubikzahl – tyska" lang="de" hreflang="de" data-title="Zentrierte Kubikzahl" data-language-autonym="Deutsch" data-language-local-name="tyska" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Centered_cube_number" title="Centered cube number – engelska" lang="en" hreflang="en" data-title="Centered cube number" data-language-autonym="English" data-language-local-name="engelska" 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/Centrita_kuba_nombro" title="Centrita kuba nombro – esperanto" lang="eo" hreflang="eo" data-title="Centrita kuba 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_cubique_centr%C3%A9" title="Nombre cubique centré – franska" lang="fr" hreflang="fr" data-title="Nombre cubique centré" data-language-autonym="Français" data-language-local-name="franska" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Numero_cubico_centrato" title="Numero cubico centrato – italienska" lang="it" hreflang="it" data-title="Numero cubico 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_k%C3%B6bsz%C3%A1mok" title="Középpontos köbszámok – ungerska" lang="hu" hreflang="hu" data-title="Középpontos köbszámok" data-language-autonym="Magyar" data-language-local-name="ungerska" class="interlanguage-link-target"><span>Magyar</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%E7%AB%8B%E6%96%B9%E4%BD%93%E6%95%B0" title="中心立方体数 – japanska" lang="ja" hreflang="ja" data-title="中心立方体数" 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-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Num%C4%83r_centrat_cubic" title="Număr centrat cubic – rumänska" lang="ro" hreflang="ro" data-title="Număr centrat cubic" data-language-autonym="Română" data-language-local-name="rumänska" class="interlanguage-link-target"><span>Română</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%95%E0%AE%A9%E0%AE%9A%E0%AE%A4%E0%AF%81%E0%AE%B0_%E0%AE%8E%E0%AE%A3%E0%AF%8D" title="மையப்படுத்தப்பட்ட கனசதுர எண் – tamil" lang="ta" hreflang="ta" data-title="மையப்படுத்தப்பட்ட கனசதுர எண்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</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%E7%AB%8B%E6%96%B9%E9%AB%94%E6%95%B8" title="中心立方體數 – kinesiska" lang="zh" hreflang="zh" data-title="中心立方體數" 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/Q190893#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_kubiktal" 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_kubiktal&action=edit&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_kubiktal"><span>Läs</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Centrerat_kubiktal&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_kubiktal&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_kubiktal&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_kubiktal"><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_kubiktal&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_kubiktal&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_kubiktal&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_kubiktal" 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_kubiktal" 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_kubiktal&oldid=54314003" 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_kubiktal&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&page=Centrerat_kubiktal&id=54314003&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&url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FCentrerat_kubiktal"><span>Hämta förkortad url</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Special:QrCode&url=https%3A%2F%2Fsv.wikipedia.org%2Fwiki%2FCentrerat_kubiktal"><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&bookcmd=book_creator&referer=Centrerat+kubiktal"><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&page=Centrerat_kubiktal&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_kubiktal&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 id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q190893" title="Länk till anslutet databasobjekt [g]" accesskey="g"><span>Wikidata-objekt</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Sidverktyg"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Utseende"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Utseende</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">flytta till sidofältet</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">dölj</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Från Wikipedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sv" dir="ltr"><p><b>Centrerat kubiktal</b> är ett <a href="/wiki/Centrerat_polyedertal" title="Centrerat polyedertal">centrerat polyedertal</a> som representerar en <a href="/wiki/Kub" title="Kub">kub</a>. Det centrerade kubiktalet för <i>n</i> 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 n^{3}+(n+1)^{3}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> <mo>+</mo> <mo stretchy="false">(</mo> <mi>n</mi> <mo>+</mo> <mn>1</mn> <msup> <mo stretchy="false">)</mo> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n^{3}+(n+1)^{3}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/da7238cf253b50a298e92fb70a36db0377357922" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:13.55ex; height:3.176ex;" alt="{\displaystyle n^{3}+(n+1)^{3}}"></span></dd></dl> <p>De första centrerade kubiktalen är: </p> <dl><dd><a href="/wiki/1_(tal)" title="1 (tal)">1</a>, <a href="/wiki/9_(tal)" title="9 (tal)">9</a>, <a href="/wiki/35_(tal)" title="35 (tal)">35</a>, <a href="/wiki/91_(tal)" title="91 (tal)">91</a>, <a href="/wiki/189_(tal)" title="189 (tal)">189</a>, <a href="/wiki/341_(tal)" title="341 (tal)">341</a>, <a href="/wiki/559_(tal)" title="559 (tal)">559</a>, <a href="/w/index.php?title=855_(tal)&action=edit&redlink=1" class="new" title="855 (tal) [inte skriven än]">855</a>, <a href="/w/index.php?title=1241_(tal)&action=edit&redlink=1" class="new" title="1241 (tal) [inte skriven än]">1241</a>, <a href="/wiki/1729_(tal)" title="1729 (tal)">1729</a>, <a href="/w/index.php?title=2331_(tal)&action=edit&redlink=1" class="new" title="2331 (tal) [inte skriven än]">2331</a>, <a href="/w/index.php?title=3059_(tal)&action=edit&redlink=1" class="new" title="3059 (tal) [inte skriven än]">3059</a>, <a href="/w/index.php?title=3925_(tal)&action=edit&redlink=1" class="new" title="3925 (tal) [inte skriven än]">3925</a>, <a href="/w/index.php?title=4941_(tal)&action=edit&redlink=1" class="new" title="4941 (tal) [inte skriven än]">4941</a>, <a href="/w/index.php?title=6119_(tal)&action=edit&redlink=1" class="new" title="6119 (tal) [inte skriven än]">6119</a>, <a href="/w/index.php?title=7471_(tal)&action=edit&redlink=1" class="new" title="7471 (tal) [inte skriven än]">7471</a>, <a href="/w/index.php?title=9009_(tal)&action=edit&redlink=1" class="new" title="9009 (tal) [inte skriven än]">9009</a>, <a href="/w/index.php?title=10745_(tal)&action=edit&redlink=1" class="new" title="10745 (tal) [inte skriven än]">10745</a>, <a href="/w/index.php?title=12691_(tal)&action=edit&redlink=1" class="new" title="12691 (tal) [inte skriven än]">12691</a>, <a href="/w/index.php?title=14859_(tal)&action=edit&redlink=1" class="new" title="14859 (tal) [inte skriven än]">14859</a>, <a href="/w/index.php?title=17261_(tal)&action=edit&redlink=1" class="new" title="17261 (tal) [inte skriven än]">17261</a>, <a href="/w/index.php?title=19909_(tal)&action=edit&redlink=1" class="new" title="19909 (tal) [inte skriven än]">19909</a>, <a href="/w/index.php?title=22815_(tal)&action=edit&redlink=1" class="new" title="22815 (tal) [inte skriven än]">22815</a>, <a href="/w/index.php?title=25991_(tal)&action=edit&redlink=1" class="new" title="25991 (tal) [inte skriven än]">25991</a>, <a href="/w/index.php?title=29449_(tal)&action=edit&redlink=1" class="new" title="29449 (tal) [inte skriven än]">29449</a>, <a href="/w/index.php?title=33201_(tal)&action=edit&redlink=1" class="new" title="33201 (tal) [inte skriven än]">33201</a>, <a href="/w/index.php?title=37259_(tal)&action=edit&redlink=1" class="new" title="37259 (tal) [inte skriven än]">37259</a>, <a href="/w/index.php?title=41635_(tal)&action=edit&redlink=1" class="new" title="41635 (tal) [inte skriven än]">41635</a>, <a href="/w/index.php?title=46341_(tal)&action=edit&redlink=1" class="new" title="46341 (tal) [inte skriven än]">46341</a>, <a href="/w/index.php?title=51389_(tal)&action=edit&redlink=1" class="new" title="51389 (tal) [inte skriven än]">51389</a>, <a href="/w/index.php?title=56791_(tal)&action=edit&redlink=1" class="new" title="56791 (tal) [inte skriven än]">56791</a>, <a href="/w/index.php?title=62559_(tal)&action=edit&redlink=1" class="new" title="62559 (tal) [inte skriven än]">62559</a>, <a href="/w/index.php?title=68705_(tal)&action=edit&redlink=1" class="new" title="68705 (tal) [inte skriven än]">68705</a>, <a href="/w/index.php?title=75241_(tal)&action=edit&redlink=1" class="new" title="75241 (tal) [inte skriven än]">75241</a>, <a href="/w/index.php?title=82179_(tal)&action=edit&redlink=1" class="new" title="82179 (tal) [inte skriven än]">82179</a>, <a href="/w/index.php?title=89531_(tal)&action=edit&redlink=1" class="new" title="89531 (tal) [inte skriven än]">89531</a>, <a href="/w/index.php?title=97309_(tal)&action=edit&redlink=1" class="new" title="97309 (tal) [inte skriven än]">97309</a>, <a href="/w/index.php?title=105525_(tal)&action=edit&redlink=1" class="new" title="105525 (tal) [inte skriven än]">105525</a>, … (talföljd <a href="//oeis.org/A005898" class="extiw" title="oeis:A005898">A005898</a> i <a href="/wiki/N%C3%A4tuppslagsverket_%C3%B6ver_heltalsf%C3%B6ljder" title="Nätuppslagsverket över heltalsföljder">OEIS</a>)</dd></dl> <p>Om <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_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0301812adb392070d834ca2df4ed97f1cf132f33" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.88ex; height:2.509ex;" alt="{\displaystyle C_{n}}"></span> är det <i>n</i>:te centrerade kubiktalet och <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 P_{n}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle P_{n}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5949c8b1de44005a1af3a11188361f2a830842d1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.711ex; height:2.509ex;" alt="{\displaystyle P_{n}}"></span> det <i>n</i>:te <a href="/w/index.php?title=Kvadratpyramidtal&action=edit&redlink=1" class="new" title="Kvadratpyramidtal [inte skriven än]">kvadratpyramidtalet</a> så är: </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_{n}=P_{n}+4P_{n-1}+P_{n-2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>C</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>=</mo> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> </mrow> </msub> <mo>+</mo> <mn>4</mn> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−<!-- − --></mo> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>P</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>n</mi> <mo>−<!-- − --></mo> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C_{n}=P_{n}+4P_{n-1}+P_{n-2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6f46de989521616746e6a4942d7a7343fbf1351d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:25.155ex; height:2.509ex;" alt="{\displaystyle C_{n}=P_{n}+4P_{n-1}+P_{n-2}}"></span></dd></dl> <p>Centrerade kubiktal har tillämpningar inom modellering av höljena av <a href="/wiki/Atom" title="Atom">atomer</a>. </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_kubiktal&veaction=edit&section=1" 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_kubiktal&action=edit&section=1" 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_cube_number">Centered cube number</a>, <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Centered_cube_number&oldid=557558890">31 juli 2013</a>.</i></span></dd></dl> <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 th{text-align:center;padding-left:1em;padding-right:1em}.mw-parser-output .navbox-thlinkcolor .navbox-title button,.mw-parser-output .navbox-thlinkcolor .navbox-title .mw-collapsible-text,.mw-parser-output .navbox-thlinkcolor .navbox-title a{color:inherit}.mw-parser-output .nowraplinks a,.mw-parser-output .nowraplinks .selflink{white-space:nowrap}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right;font-weight:bold;padding-left:1em;padding-right:1em}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background:#fdfdfd}.mw-parser-output .navbox-list{border-color:#fdfdfd}.mw-parser-output .navbox-title,.mw-parser-output table.navbox th{background:#b0c4de}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background:#d0e0f5}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background:#deeafa}.mw-parser-output .navbox-even{background:#f7f7f7}.mw-parser-output .navbox-odd{background:transparent}</style><table class="navbox" style="border-spacing:0; ;"><tbody><tr><td style="padding:2px;"><table class="collapsible collapsed" style="width:100%;border-spacing:0;background:transparent;color:inherit;;"><tbody><tr><th style=";" colspan="2" class="navbox-title"><div style="float:left; width:3em;text-align:left;"><div class="noprint plainlinks" style="background-color:transparent; padding:0; white-space:nowrap; font-weight:normal; font-size:80%; border:none;; color: inherit;"><a href="/wiki/Mall:Naturliga_tal" title="Mall:Naturliga tal"><span title="Visa denna mall" style="border:none;;">v</span></a> <span style="font-size:80%;">•</span> <a class="external text" href="https://sv.wikipedia.org/w/index.php?title=Mall:Naturliga_tal&action=edit"><span style="border:none;;" title="Redigera den här mallen">r</span></a></div></div><span style="font-size:110%;"><a href="/wiki/Naturliga_tal" title="Naturliga tal">Naturliga tal</a> (ℕ)</span></th></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-group" style=";;"> 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;"> · </span> <a href="/wiki/Tv%C3%A5potens" title="Tvåpotens">Tvåpotens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tiopotens" title="Tiopotens">Tiopotens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">Kvadrat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kub_(aritmetik)" title="Kub (aritmetik)">Kub</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Fj%C3%A4rde_potens" title="Fjärde potens">Fjärde potens</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Femte_potens" title="Femte potens">Femte potens</a><span style="font-weight:bold;"> · </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=";;"> Av formen <i>a</i> × 2<sup><i>b</i></sup> ± 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;"> · </span> <a href="/wiki/Dubbelt_Mersennetal" title="Dubbelt Mersennetal">Dubbelt Mersenne</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Fermattal" title="Fermattal">Fermat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mersennetal" class="mw-redirect" title="Mersennetal">Mersenne</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Prothtal" title="Prothtal">Proth</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Thabittal" title="Thabittal">Thabit</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/Hilberttal" title="Hilberttal">Hilbert</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kyneatal" title="Kyneatal">Kynea</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Leylandtal" title="Leylandtal">Leyland</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/Tetranaccital" title="Tetranaccital">4</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Pentanaccital" title="Pentanaccital">5</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexanaccital" title="Hexanaccital">6</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptanaccital" title="Heptanaccital">7</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktanaccital" title="Oktanaccital">8</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Nonaccital" title="Nonaccital">9</a>)<span style="font-weight:bold;"> · </span> <a href="/wiki/Jacobsthaltal" title="Jacobsthaltal">Jacobsthal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Leonardotal" title="Leonardotal">Leonardo</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/Prim%C3%A4rt_pseudoperfekt_tal" title="Primärt pseudoperfekt tal">Primärt pseudoperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ulamtal" title="Ulamtal">Ulam</a><span style="font-weight:bold;"> · </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)&action=edit&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;"> · </span> <a href="/wiki/Kvadrat_(aritmetik)" title="Kvadrat (aritmetik)">Kvadrat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Pentagontal" title="Pentagontal">5∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexagontal" title="Hexagontal">6∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptagontal" title="Heptagontal">7∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktogontal" title="Oktogontal">8∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Nonagontal" title="Nonagontal">9∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dekagontal" title="Dekagontal">10∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hendekagontal" title="Hendekagontal">11∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dodekagontal" title="Dodekagontal">12∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tridekagontal" title="Tridekagontal">13∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Tetradekagontal" title="Tetradekagontal">14∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Pentadekagontal" title="Pentadekagontal">15∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hexadekagontal" title="Hexadekagontal">16∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Heptadekagontal" title="Heptadekagontal">17∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktodekagontal" title="Oktodekagontal">18∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Nonadekagontal" title="Nonadekagontal">19∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosagontal" title="Ikosagontal">20∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosihenagontal" title="Ikosihenagontal">21∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikosidigontal" title="Ikosidigontal">22∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikositrigontal" title="Ikositrigontal">23∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Ikositetragontal" title="Ikositetragontal">24∡</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Myriagontal" title="Myriagontal">Myriagon</a><span style="font-weight:bold;"> · </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 href="/wiki/Centrerat_polygontal" title="Centrerat polygontal">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;"> · </span> <a href="/wiki/Centrerat_kvadrattal" title="Centrerat kvadrattal">Centrerad kvadrat</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_pentagontal" title="Centrerat pentagontal">Centrerad pentagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_hexagontal" title="Centrerat hexagontal">Centrerad hexagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_heptagontal" title="Centrerat heptagontal">Centrerad heptagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_oktogontal" title="Centrerat oktogontal">Centrerad oktogon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_nonagontal" title="Centrerat nonagontal">Centrerad nonagon</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_dekagontal" title="Centrerat dekagontal">Centrerad dekagon</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/Kub_(aritmetik)" title="Kub (aritmetik)">Kubiktal</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Oktaedertal" title="Oktaedertal">Oktaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dodekaedertal" title="Dodekaedertal">Dodekaeder</a><span style="font-weight:bold;"> · </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;"> · </span> <a class="mw-selflink selflink">Centrerad kub</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_oktaedertal" title="Centrerat oktaedertal">Centrerad oktaeder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Centrerat_dodekaedertal" title="Centrerat dodekaedertal">Centrerad dodekaeder</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/Hexagonalt_pyramidtal" title="Hexagonalt pyramidtal">Hexagonal pyramid</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/Kvadrattriangul%C3%A4rt_tal" title="Kvadrattriangulärt tal">Kvadrattriangulärt</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/Elliptiskt_pseudoprimtal" title="Elliptiskt pseudoprimtal">Elliptiskt pseudoprimtal</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/Catalantal" title="Catalantal">Catalan</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Fuss%E2%80%93Catalantal" title="Fuss–Catalantal">Fuss–Catalan</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Motzkintal" title="Motzkintal">Motzkin</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/N%C3%A4stan-perfekt_tal" title="Nästan-perfekt tal">Nästan-perfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Aritmetiskt_tal" title="Aritmetiskt tal">Aritmetiskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kolossalt_ymnigt_tal" title="Kolossalt ymnigt tal">Kolossalt ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Descartestal" title="Descartestal">Descartes</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hemiperfekt_tal" title="Hemiperfekt tal">Hemiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_ymnigt_tal" title="Mycket ymnigt tal">Mycket ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Hyperperfekt_tal" title="Hyperperfekt tal">Hyperperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Multiperfekt_tal" title="Multiperfekt tal">Multiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Perfekt_tal" title="Perfekt tal">Perfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Primitivt_ymnigt_tal" title="Primitivt ymnigt tal">Primitivt ymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kvasiperfekt_tal" title="Kvasiperfekt tal">Kvasiperfekt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Superymnigt_tal" title="Superymnigt tal">Superymnigt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_h%C3%B6gt_sammansatt_tal" title="Mycket högt sammansatt tal">Mycket högt sammansatt</a><span style="font-weight:bold;"> · </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;"> · </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;"> · </span> <a href="/wiki/Kvasiv%C3%A4nskapligt_tal" title="Kvasivänskapligt tal">Kvasivänskapligt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Defekt_tal" title="Defekt tal">Defekt</a><span style="font-weight:bold;"> · </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;"> · </span> <a href="/wiki/Frugalt_tal" title="Frugalt tal">Frugalt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Giugatal" title="Giugatal">Giuga</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Mycket_sammansatt_tal" title="Mycket sammansatt tal">Mycket sammansatt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Lucas%E2%80%93Carmichaeltal" title="Lucas–Carmichaeltal">Lucas–Carmichael</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Rektangeltal" title="Rektangeltal">Rektangel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Sfeniskt_tal" title="Sfeniskt tal">Sfeniskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/St%C3%B8rmertal" title="Størmertal">Størmer</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Zeiseltal" title="Zeiseltal">Zeisel</a></div></td></tr><tr style="height:2px"><td></td></tr><tr><td class="navbox-group" style=";;"><a href="/wiki/Talbas" title="Talbas">Bas</a>-beroende 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/Cykliskt_tal" title="Cykliskt tal">Cykliskt</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Dudeneytal" title="Dudeneytal">Dudeney</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Extravagant_tal" title="Extravagant tal">Extravagant</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Friedmantal" title="Friedmantal">Friedman</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Glada_tal" title="Glada tal">Glada</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Harshadtal" title="Harshadtal">Harshad</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Kaprekartal" title="Kaprekartal">Kaprekar</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Keithtal" title="Keithtal">Keith</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Lychreltal" class="mw-redirect" title="Lychreltal">Lychrel</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Palindromtal" title="Palindromtal">Palindrom</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Smarandache%E2%80%93Wellintal" title="Smarandache–Wellintal">Smarandache–Wellin</a><span style="font-weight:bold;"> · </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 href="/wiki/Rekreationell_matematik" class="mw-redirect" title="Rekreationell matematik">Rekreationell matematik</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="/w/index.php?title=Bantal_(matematik)&action=edit&redlink=1" class="new" title="Bantal (matematik) [inte skriven än]">Ban</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Armstrongtal" title="Armstrongtal">Armstrong</a></div></td></tr><tr style="height:2px;"><td></td></tr><tr><td class="navbox-abovebelow" style=";" colspan="2"><a href="/wiki/Kategori:Heltalsm%C3%A4ngder" title="Kategori:Heltalsmängder">Heltalsmängder</a><span style="font-weight:bold;"> · </span> <a href="/wiki/Lista_%C3%B6ver_tal" title="Lista över tal">Lista över tal</a></td></tr></tbody></table></td></tr></tbody></table> <!-- NewPP limit report Parsed by mw‐web.eqiad.main‐5dc468848‐8zk4b Cached time: 20241122171549 Cache expiry: 2592000 Reduced expiry: false Complications: [] CPU time usage: 0.128 seconds Real time usage: 0.197 seconds Preprocessor visited node count: 2888/1000000 Post‐expand include size: 105473/2097152 bytes Template argument size: 88127/2097152 bytes Highest expansion depth: 17/100 Expensive parser function count: 0/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 7394/5000000 bytes Lua time usage: 0.004/10.000 seconds Lua memory usage: 668491/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 86.125 1 -total 88.25% 76.008 5 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