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Number of partitions of n^3 into powers of 3.
2

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

%S 1,1,3,23,132,729,3987,18687,82350,342383,1295579,4634280,15873501,

%T 51143461,156932559,463212189,1309275981,3576241449,9484669665,

%U 24306269493,60475548510,146630200929,345755185335,796397380425,1797676089003,3970398558042,8602390112508

%N Number of partitions of n^3 into powers of 3.

%H Alois P. Heinz, <a href="/A196881/b196881.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = [x^(n^3)] 1/Product_{j>=0}(1-x^(3^j)).

%Y Column k=3 of A196879.

%K nonn

%O 0,3

%A _Alois P. Heinz_, Oct 07 2011