A022742 Expansion of 1/Product_{m>=1} (1 - m*q^m)^18.

1, 18, 207, 1842, 13869, 92250, 557214, 3111624, 16272972, 80461694, 378917667, 1709416008, 7422200694, 31136646366, 126608628735, 500368588830, 1926482319873, 7240422289338, 26610335585263

Offset

0,2

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = 18, g(n) = n. - Seiichi Manyama, Aug 16 2023

Links

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

Formula

a(0) = 1; a(n) = (18/n) * Sum_{k=1..n} A078308(k) * a(n-k). - Seiichi Manyama, Aug 16 2023

Crossrefs

Column k=18 of A297328.

Cf. A078308.

Sequence in context: A277763 A028025 A109126 * A055528 A304202 A298988

Adjacent sequences: A022739 A022740 A022741 * A022743 A022744 A022745

Keyword

nonn

Author

N. J. A. Sloane

Status

approved