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

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, 13, 13, 14, 14, 14, 15, 15, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26

Offset: 1

Author

Clark Kimberling, Jul 18 2012

Keywords

• nonn
• easy

Examples

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

Links

• Clark Kimberling, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A214045.

Programs

Mathematica

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