# L(-n)=(-1)^nL(n)

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Revision as of 00:39, 25 May 2017 by Tom (talk | contribs) (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...")

## Theorem

The following formula holds: $$L(-n)=(-1)^{n}L(n),$$ where $L(n)$ denotes the $n$th Lucas number.