Difference between revisions of "Catalan's identity"
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(Created page with "==Theorem== The following formula holds: $$F_n^2 - F_{n+r} F_{n-r} = (-1)^{n-r}F_r^2,$$ where $F_n$ denotes a Fibonacci number. ==Proof== ==See also=...") |
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Revision as of 02:36, 15 September 2016
Theorem
The following formula holds: $$F_n^2 - F_{n+r} F_{n-r} = (-1)^{n-r}F_r^2,$$ where $F_n$ denotes a Fibonacci number.
