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<a href="https://oeis.org/wikiindex/Index_to_OEIS:_Section_Fa
(MAGMAMagma) SetDefaultRealField(RealField(250)); [Floor(Log(2))] cat [Floor(Factorial(n)*Log(2)) - n*Floor(Factorial((n-1))*Log(2)) : n in [2..80]]; // G. C. Greubel, Nov 26 2018
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<a href="https://oeis.org/wiki/Index_to_OEIS:_Section_Fa#facbase">Index entries for factorial base representation of noninteger constants</a>
log(2) = 0 + 1/2! + 1/3! + 0/4! + 3/5! + 1/6! + 0/7! + 3/8! + 6/9! + ...
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