A022743 Expansion of 1/Product_{m>=1} (1 - m*q^m)^19.

1, 19, 228, 2109, 16454, 113164, 705527, 4060870, 21863490, 111178196, 537978635, 2491812228, 11100464810, 47746888432, 198952868210, 805306011651, 3174012174213, 12206318615473, 45884592463642

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) = 19, g(n) = n. - Seiichi Manyama, Aug 16 2023

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..5000

Crossrefs

Column k=19 of A297328.

Cf. A078308.

Formula

a(0) = 1; a(n) = (19/n) * Sum_{k=1..n} A078308(k) * a(n-k). - Seiichi Manyama, Aug 16 2023