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A214046 Least m>0 such that n! <= m^n. 4

%I #4 Jul 20 2012 04:04:24

%S 1,2,2,3,3,3,4,4,5,5,5,6,6,7,7,7,8,8,8,9,9,10,10,10,11,11,11,12,12,13,

%T 13,13,14,14,14,15,15,16,16,16,17,17,17,18,18,18,19,19,20,20,20,21,21,

%U 21,22,22,23,23,23,24,24,24,25,25,26,26

%N Least m>0 such that n! <= m^n.

%H Clark Kimberling, <a href="/A214046/b214046.txt">Table of n, a(n) for n = 1..1000</a>

%e a(7) = 4 because 3^7 < 7! <= 4^7.

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

%Y Cf. A214045.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jul 18 2012

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Last modified April 24 19:39 EDT 2024. Contains 371963 sequences. (Running on oeis4.)