

A317873


Number of digits in 2^(n!).


2



1, 1, 2, 8, 37, 217, 1518, 12138, 109238, 1092378, 12016155, 144193850, 1874520045, 26243280622, 393649209329, 6298387349264, 107072584937472, 1927306528874488, 36618824048615255, 732376480972305082, 15379906100418406713, 338357934209204947674
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OFFSET

1,3


COMMENTS

The old definition (which did not match the data) was "Number of digits in the numerators of partial sums for Liouville's constant, read as base2 (binary) numbers (A145572)."


LINKS



FORMULA



MAPLE

Digits := 900: # for n <= 300
a := n > ceil(exp(lnGAMMA(n + 1))*log10(2)):


MATHEMATICA

Array[ Floor[#! Log10@2 + 1] &, 22]


CROSSREFS



KEYWORD

nonn,base


AUTHOR



EXTENSIONS



STATUS

approved



