June 2018 Update
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5278 changed files with 84726 additions and 14379 deletions
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fib[n] /. RSolve[{fib[n] == fib[n - 1] + fib[n - 2], fib[0] == 0,
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fib[1] == 1}, fib[n], n][[1]]
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Fibonacci[n] // FunctionExpand // FullSimplify
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(2^-n ((1 + Sqrt[5])^n - (-1 + Sqrt[5])^n Cos[n π]))/Sqrt[5]
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