%I
%S 1,2,5,16,45,118,296,717,1684,3876,8770,19581,43251,94686,205748,
%T 444255,954037,2039137,4340409,9205096,19458756,41014654,86223599,
%U 180835794,378448792,790452002,1648012854,3430243421,7128922283,14794715462
%N Number of binary digits in (2^n)!.
%C Number of binary digits in the factorial of the smallest positive integer having more than n binary digits.
%H Jon E. Schoenfield, <a href="/A152428/b152428.txt">Table of n, a(n) for n=0..100</a>
%t Table[IntegerLength[(2^n)!,2],{n,0,30}] (* _Harvey P. Dale_, Apr 21 2014 *)
%K nonn,base,less
%O 0,2
%A _Jon E. Schoenfield_, Dec 03 2008
