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A152428 Number of binary digits in (2^n)!. 1


%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

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Last modified October 1 06:45 EDT 2022. Contains 357135 sequences. (Running on oeis4.)