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Expansion of Product_{k>0} 1/(1 - k*(k+1)/2 * x^(k*(k+1)/2)).
1

%I #10 Sep 16 2018 16:40:59

%S 1,1,1,4,4,4,19,19,19,64,74,74,245,275,275,803,953,953,2753,3203,3303,

%T 8814,10524,10824,28653,33933,35433,89586,107614,112114,283574,338768,

%U 355868,874244,1052954,1105754,2715239,3258029,3438309,8290740,10010128,10562068,25445944

%N Expansion of Product_{k>0} 1/(1 - k*(k+1)/2 * x^(k*(k+1)/2)).

%C Sum of products of terms in all partitions of n into triangular numbers (A000217).

%Y Cf. A000217, A007294, A319256.

%K nonn

%O 0,4

%A _Seiichi Manyama_, Sep 15 2018