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

Offset

1,2

Links

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

Example

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

Mathematica

Table[Ceiling[n!^(1/3), {n, 1, 100}]

Crossrefs

Cf. A055228.

Sequence in context: A226956 A141602 A153931 * A273034 A208437 A130377

Adjacent sequences: A214046 A214047 A214048 * A214050 A214051 A214052

Keyword

nonn,easy

Author

Clark Kimberling, Jul 18 2012

Status

approved