Difference between revisions of "L(n)^2-5F(n)^2=4(-1)^n"
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(Created page with "==Theorem== The following formula holds: $$L(n)^2-5F(n)^2=4(-1)^n,$$ where $L(n)$ denotes the $n$th Lucas number and $F(n)$ denotes the $n$th Fibonacci num...") |
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Latest revision as of 00:37, 25 May 2017
Theorem
The following formula holds: $$L(n)^2-5F(n)^2=4(-1)^n,$$ where $L(n)$ denotes the $n$th Lucas number and $F(n)$ denotes the $n$th Fibonacci number.
