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Number of partitions of n^6 into parts that are at most n.
2

%I #8 May 25 2015 10:18:14

%S 1,1,33,44652,478968264,20735819929227,2561606354507677872,

%T 731267824140098782358035,418829370245413954052212657987,

%U 435014756168760380909523387186194290,759593815557626617904440619008375351308296,2102438285027143559802785522708457578986076133973

%N Number of partitions of n^6 into parts that are at most n.

%H Alois P. Heinz, <a href="/A238611/b238611.txt">Table of n, a(n) for n = 0..60</a>

%F a(n) = [x^(n^6)] Product_{j=1..n} 1/(1-x^j).

%F a(n) ~ exp(2*n) * n^(4*n-6) / (2*Pi). - _Vaclav Kotesovec_, May 25 2015

%Y Column k=6 of A238016.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Mar 01 2014