A259794 Number of partitions of n^5 into fifth powers.

1, 1, 2, 9, 88, 1104, 15772, 241582, 3869852, 63689650, 1065023018, 17948615155, 303219868652, 5116273886322, 86004191773864, 1437703756689091, 23869446608034827, 393225674878151704, 6423761195925513669, 104014146020398166139, 1668870762057827073994

Offset

0,3

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..26

H. L. Fisher, Letter to N. J. A. Sloane, Mar 16 1989

Formula

a(n) = [x^(n^5)] Product_{k>=1} 1/(1 - x^(k^5)). - Ilya Gutkovskiy, Jan 29 2018

Crossrefs

A row of the array in A259799.

Cf. A037444, A259792, A259793, A259795.

Sequence in context: A278332 A135747 A270862 * A347013 A132431 A228509

Adjacent sequences: A259791 A259792 A259793 * A259795 A259796 A259797

Keyword

nonn

Author

N. J. A. Sloane, Jul 06 2015

Extensions

More terms from Alois P. Heinz, Jul 10 2015

Status

approved