A022749 Expansion of 1/Product_{m>=1} (1 - m*q^m)^25.

1, 25, 375, 4250, 40000, 328255, 2420250, 16355625, 102754175, 606511425, 3390891675, 18072320050, 92298482475, 453641400625, 2153379245600, 9902221659300, 44225723552250, 192274295402250

Offset

0,2

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = 25, g(n) = n. - Seiichi Manyama, Aug 17 2023

Links

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

Formula

a(0) = 1; a(n) = (25/n) * Sum_{k=1..n} A078308(k) * a(n-k). - Seiichi Manyama, Aug 17 2023

Crossrefs

Column k=25 of A297328.

Cf. A078308.

Sequence in context: A059255 A227024 A254376 * A036071 A225968 A094190

Adjacent sequences: A022746 A022747 A022748 * A022750 A022751 A022752

Keyword

nonn

Author

N. J. A. Sloane

Status

approved