A022652 Expansion of Product_{m>=1} (1+m*q^m)^24.

1, 24, 324, 3248, 26802, 191904, 1230824, 7221744, 39342783, 201199888, 974039652, 4493483424, 19859122142, 84451085664, 346817307672, 1379695128080, 5330825817507, 20050294307376, 73556403409336

Offset

0,2

Comments

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -24, g(n) = -n. - Seiichi Manyama, Dec 29 2017

Links

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

Mathematica

With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^24, {m, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 18 2018 *)

Prog

(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+n*q^n)^24)) \\ G. C. Greubel, Jul 18 2018
(Magma) Coefficients(&*[(1+m*x^m)^24:m in [1..40]])[1..50] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 18 2018

Crossrefs

Column k=24 of A297321.

Sequence in context: A300846 A006922 A036221 * A292298 A138453 A004317

Adjacent sequences: A022649 A022650 A022651 * A022653 A022654 A022655

Keyword

nonn

Author

N. J. A. Sloane

Status

approved