A214049 Least m>0 such that n! <= m^3.

1, 2, 2, 3, 5, 9, 18, 35, 72, 154, 342, 783, 1840, 4435, 10936, 27556, 70853, 185687, 495487, 1344957, 3710633, 10397339, 29568649, 85290742, 249391642, 738821757, 2216465269, 6730493990, 20678209930, 64252006060, 201840008712, 640802084316, 2055394684174

Offset: 1

Author

Clark Kimberling, Jul 18 2012

Keywords

• nonn
• easy

Examples

			a(4) = 3 because 2^3 < 4! <= 3^3.
		

Links

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

Crossrefs

Cf. A055228.

Programs

Mathematica

Table[Ceiling[n!^(1/3)], {n,1,40}]