A022658 Expansion of Product_{m>=1} (1+m*q^m)^30.

1, 30, 495, 5950, 58065, 486606, 3622850, 24508320, 153065370, 893004950, 4910926857, 25638586740, 127801113520, 611122860870, 2814360594975, 12523572401730, 54001382371560, 226189483208580

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)^30: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)^30,{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)^30)) \\ G. C. Greubel, Jul 18 2018