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A213851 Least m such that m!*2^m >= n! 2

%I #9 Jul 20 2012 04:06:28

%S 1,1,2,3,4,5,6,6,7,8,9,10,11,12,12,13,14,15,16,17,18,18,19,20,21,22,

%T 23,24,24,25,26,27,28,29,30,31,31,32,33,34,35,36,37,38,38,39,40,41,42,

%U 43,44,45,46,46,47,48,49,50,51,52,53,53,54

%N Least m such that m!*2^m >= n!

%H Clark Kimberling, <a href="/A213851/b213851.txt">Table of n, a(n) for n = 1..1000</a>

%e a(8) = 6 because (2^5)*5! < 8! <= (2^6)*6!.

%t Table[m=1; While[n!>(2^m)*m!, m++]; m, {n,1,100}]

%Y Cf. A094331.

%K nonn,easy

%O 1,3

%A _Clark Kimberling_, Jul 17 2012

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Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)