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

0,4

Comments

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

Links

Table of n, a(n) for n=0..42.

Crossrefs

Cf. A000217, A007294, A319256.

Sequence in context: A231746 A275858 A241094 * A131946 A034896 A320970

Adjacent sequences: A319254 A319255 A319256 * A319258 A319259 A319260

Keyword

nonn

Author

Seiichi Manyama, Sep 15 2018

Status

approved