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Applications of mathematics for the design and analysis of games and puzzles

3 votes
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Proof of an unknown source Fibonacci identity with double modulo

Many years ago, I saw the following Fibonacci identity from somewhere online, without proof: Let usual $F(n)$ be Fibonacci numbers with $F(0) = 0, F(1) = 1$, then we have $$F(n) = \left(p ^ {n + 1} \ …
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