A022651 Expansion of Product_{m>=1} (1+m*q^m)^23.

1, 23, 299, 2898, 23184, 161253, 1006250, 5751679, 30558053, 152543797, 721432513, 3253563394, 14065808815, 58544010641, 235435351628, 917591584210, 3474891526923, 12815003028813, 46113476682975

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000

Programs

Magma

Coefficients(&*[(1+m*x^m)^23:m in [1..40]])[1..50] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Jul 18 2018

Mathematica

With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^23,{m,1,nmax}],{q,0,nmax}],q]] (* G. C. Greubel, Jul 18 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^23)) \\ G. C. Greubel, Jul 18 2018