A259794 - OEIS

%I #13 Jan 29 2018 21:11:53

%S 1,1,2,9,88,1104,15772,241582,3869852,63689650,1065023018,17948615155,

%T 303219868652,5116273886322,86004191773864,1437703756689091,

%U 23869446608034827,393225674878151704,6423761195925513669,104014146020398166139,1668870762057827073994

%N Number of partitions of n^5 into fifth powers.

%H Vaclav Kotesovec, <a href="/A259794/b259794.txt">Table of n, a(n) for n = 0..26</a>

%H H. L. Fisher, <a href="/A027601/a027601.pdf">Letter to N. J. A. Sloane, Mar 16 1989</a>

%F a(n) = [x^(n^5)] Product_{k>=1} 1/(1 - x^(k^5)). - _Ilya Gutkovskiy_, Jan 29 2018

%Y A row of the array in A259799.

%Y Cf. A037444, A259792, A259793, A259795.

%K nonn

%O 0,3

%A _N. J. A. Sloane_, Jul 06 2015

%E More terms from _Alois P. Heinz_, Jul 10 2015