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==Theorem==
The following formula holds:
$$F(2n+1)=F(n+1)^2+F(n)^2,$$
where $F(n)$ denotes a [[Fibonacci numbers|Fibonacci number]].

==Proof==

==References==
* {{PaperReference|A Primer on the Fibonacci Sequence Part I|1963|S.L. Basin|author2=V.E. Hoggatt, Jr.|prev=L(n)=F(n+1)+F(n-1)|next=}} 

[[Category:Theorem]]
[[Category:Unproven]]

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