A022653 Expansion of Product_{m>=1} (1+m*q^m)^25.

1, 25, 350, 3625, 30825, 227005, 1495225, 8998625, 50231225, 262982425, 1302361670, 6141852925, 27731605150, 120415590250, 504692324800, 2048151994275, 8069513499800, 30937269482500, 115647629802975

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)^25: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)^25,{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)^25)) \\ G. C. Greubel, Jul 18 2018