http://specialfunctionswiki.org/index.php?title=L(-n)%3D(-1)%5EnL(n)&feed=atom&action=historyL(-n)=(-1)^nL(n) - Revision history2024-03-28T14:14:09ZRevision history for this page on the wikiMediaWiki 1.28.0http://specialfunctionswiki.org/index.php?title=L(-n)%3D(-1)%5EnL(n)&diff=8319&oldid=prevTom: Created page with "==Theorem== The following formula holds: $$L(-n)=(-1)^{n}L(n),$$ where $L(n)$ denotes the $n$th Lucas number. ==Proof== ==References== * {{PaperReference|A..."2017-05-25T00:39:00Z<p>Created page with "==Theorem== The following formula holds: $$L(-n)=(-1)^{n}L(n),$$ where $L(n)$ denotes the $n$th <a href="/index.php/Lucas_numbers" title="Lucas numbers">Lucas number</a>. ==Proof== ==References== * {{PaperReference|A..."</p>
<p><b>New page</b></p><div>==Theorem==<br />
The following formula holds:<br />
$$L(-n)=(-1)^{n}L(n),$$<br />
where $L(n)$ denotes the $n$th [[Lucas numbers|Lucas number]].<br />
<br />
==Proof==<br />
<br />
==References==<br />
* {{PaperReference|A Primer on the Fibonacci Sequence Part I|1963|S.L. Basin|author2=V.E. Hoggatt, Jr.|prev=F(-n)=(-1)^(n+1)F(n)|next=findme}}<br />
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[[Category:Theorem]]<br />
[[Category:Unproven]]</div>Tom