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Number of partitions of n^4 into parts that are at most n.
2

%I #8 May 25 2015 10:02:35

%S 1,1,9,588,123464,55567352,44056912182,54667189410224,

%T 98149884074667116,241192889005578902877,778400276435728381405745,

%U 3195674736701993615997749350,16272552341081798500863569890566,100683204917037438858515986247835992

%N Number of partitions of n^4 into parts that are at most n.

%H Alois P. Heinz, <a href="/A238609/b238609.txt">Table of n, a(n) for n = 0..70</a>

%F a(n) = [x^(n^4)] Product_{j=1..n} 1/(1-x^j).

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

%Y Column k=4 of A238016.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Mar 01 2014