F(n+1)F(n-1)-F(n)^2=(-1)^n
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Revision as of 00:20, 25 May 2017 by Tom (talk | contribs) (Created page with "==Theorem== The following formula holds: $$F(n+1)F(n-1)-F(n)^2=(-1)^n,$$ where $F(n)$ denotes a Fibonacci number. ==Proof== ==References== * {{PaperReference|A Primer on...")
Theorem
The following formula holds: $$F(n+1)F(n-1)-F(n)^2=(-1)^n,$$ where $F(n)$ denotes a Fibonacci number.
