L(n+1)L(n-1)-L(n)^2=5(-1)^(n+1)
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Revision as of 00:22, 25 May 2017 by Tom (talk | contribs) (Created page with "==Theorem== The following formula holds: $$L(n+1)L(n-1)-L(n)^2=5(-1)^{n+1},$$ where $L(n)$ denotes a Lucas number. ==Proof== ==References== * {{PaperReference|A Primer o...")
Theorem
The following formula holds: $$L(n+1)L(n-1)-L(n)^2=5(-1)^{n+1},$$ where $L(n)$ denotes a Lucas number.
