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

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, 23, 24, 24, 25, 26, 27, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 38, 38, 39, 40, 41, 42, 43, 44, 45, 46, 46, 47, 48, 49, 50, 51, 52, 53, 53, 54

Offset: 1

Author

Clark Kimberling, Jul 17 2012

Keywords

• nonn
• easy

Examples

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

Links

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

Crossrefs

Cf. A094331.

Programs

Mathematica

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