cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A213858 Least m such that n! <= 4^m.

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%I A213858 #21 Jul 30 2025 00:57:00
%S A213858 0,1,2,3,4,5,7,8,10,11,13,15,17,19,21,23,25,27,29,31,33,35,38,40,42,
%T A213858 45,47,49,52,54,57,59,62,64,67,70,72,75,77,80,83,85,88,91,94,96,99,
%U A213858 102,105,108,110,113,116,119,122,125,128,131,134,137,140,143,145,148
%N A213858 Least m such that n! <= 4^m.
%H A213858 Harvey P. Dale, <a href="/A213858/b213858.txt">Table of n, a(n) for n = 1..1000</a> (Identical to file previously submitted by Clark Kimberling except for first term.)
%e A213858 a(11) = 13 because 4^12 < 11! <= 4^13.
%t A213858 Ceiling[Log[4,Range[100]!]] (* _Harvey P. Dale_, Jul 21 2016 *)
%Y A213858 Cf. A213857.
%K A213858 nonn,easy
%O A213858 1,3
%A A213858 _Clark Kimberling_, Jul 17 2012
%E A213858 Corrected (a(1) changed to zero) by _Harvey P. Dale_, Jul 21 2016