A022754 Expansion of 1/Product_{m>=1} (1 - m*q^m)^30.

1, 30, 525, 6850, 73500, 682656, 5663205, 42852150, 300202485, 1968839760, 12192045213, 71771729100, 403849667345, 2181900748410, 11361561151605, 57202802787016, 279230335572240, 1324656422161470

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) = 30, g(n) = n. - Seiichi Manyama, Aug 17 2023

Links

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

Crossrefs

Column k=30 of A297328.

Cf. A078308.

Formula

a(0) = 1; a(n) = (30/n) * Sum_{k=1..n} A078308(k) * a(n-k). - Seiichi Manyama, Aug 17 2023