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Number of partitions of 10^n into powers of n.
2

%I #6 Mar 30 2012 17:37:35

%S 1,1,9828,1295579,1166493640,4963576426547,86220169777616208,

%T 5945914039134501155164,1503179627327417142865920896,

%U 1357042381209389119735863425487474,4362395890943439751990308572939648140812,45406477414358716832258194914969299144120147523

%N Number of partitions of 10^n into powers of n.

%H Alois P. Heinz, <a href="/A196897/b196897.txt">Table of n, a(n) for n = 0..50</a>

%F a(n) = [x^(10^n)] 1/Product_{j>=0}(1-x^(n^j)) for n>1.

%Y Row n=10 of A196879.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Oct 07 2011