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

Author

N. J. A. Sloane

Keywords

• nonn

Comments

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

Links

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

Crossrefs

Column k=31 of A297328.

Cf. A078308.

Formula

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