A297328 -id:A297328 - cp's OEIS frontend

A022755 Expansion of 1/Product_{m>=1} (1 - m*q^m)^31.

1, 31, 558, 7471, 82119, 780301, 6615617, 51115125, 365372944, 2443413428, 15419852290, 92459940444, 529685434303, 2912402216693, 15427940560977, 78993195741608, 392010552915543, 1890042591320457

Offset: 0

N. J. A. Sloane

nonn

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = 31, g(n) = n. - Seiichi Manyama, Aug 17 2023

Seiichi Manyama, Table of n, a(n) for n = 0..1000

Column k=31 of A297328.

Cf. A078308.

a(0) = 1; a(n) = (31/n) * Sum_{k=1..n} A078308(k) * a(n-k). - Seiichi Manyama, Aug 17 2023

A022756 Expansion of 1/Product_{m>=1} (1 - m*q^m)^32.

Original entry on oeis.org

1, 32, 592, 8128, 91464, 888640, 7695744, 60684736, 442387620, 3015281632, 19383646944, 118336634048, 689923993024, 3859022174784, 20788192441664, 108201765333888, 545685611817866, 2672946940511488

Offset: 0