A319256 -id:A319256 - cp's OEIS frontend

A319257 Expansion of Product_{k>0} 1/(1 - k(k+1)/2 x^(k*(k+1)/2)).

1, 1, 1, 4, 4, 4, 19, 19, 19, 64, 74, 74, 245, 275, 275, 803, 953, 953, 2753, 3203, 3303, 8814, 10524, 10824, 28653, 33933, 35433, 89586, 107614, 112114, 283574, 338768, 355868, 874244, 1052954, 1105754, 2715239, 3258029, 3438309, 8290740, 10010128, 10562068, 25445944

Offset: 0

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Seiichi Manyama, Sep 15 2018

nonn

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

Cf. A000217, A007294, A319256.

cp's OEIS Frontend

A319257 Expansion of Product_{k>0} 1/(1 - k(k+1)/2 x^(k*(k+1)/2)).

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cp's OEIS Frontend

A319257 Expansion of Product_{k>0} 1/(1 - k*(k+1)/2 * x^(k*(k+1)/2)).

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A319257 Expansion of Product_{k>0} 1/(1 - k(k+1)/2 x^(k*(k+1)/2)).