A022744 Expansion of 1/Product_{m>=1} (1 - m*q^m)^20.

1, 20, 250, 2400, 19375, 137604, 884430, 5241000, 29017815, 151597440, 752997538, 3577442200, 16335561280, 71979549460, 307075300540, 1271938667704, 5127690095315, 20161295885120, 77454572685460

Offset

0,2

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = 20, 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) = (20/n) * Sum_{k=1..n} A078308(k) * a(n-k). - Seiichi Manyama, Aug 16 2023

Crossrefs

Column k=20 of A297328.

Cf. A078308.

Sequence in context: A125432 A278673 A055757 * A081143 A218101 A241228

Adjacent sequences: A022741 A022742 A022743 * A022745 A022746 A022747

Keyword

nonn

Author

N. J. A. Sloane

Status

approved