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A259794 Number of partitions of n^5 into fifth powers. 2
1, 1, 2, 9, 88, 1104, 15772, 241582, 3869852, 63689650, 1065023018, 17948615155, 303219868652, 5116273886322, 86004191773864, 1437703756689091, 23869446608034827, 393225674878151704, 6423761195925513669, 104014146020398166139, 1668870762057827073994 (list; graph; refs; listen; history; text; internal format)
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 * A132431 A228509 A001192

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

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Last modified June 18 04:41 EDT 2021. Contains 345098 sequences. (Running on oeis4.)