A022660 Expansion of Product_{m>=1} (1+m*q^m)^32.

1, 32, 560, 7104, 72888, 640320, 4985600, 35202496, 229089692, 1390677728, 7947553824, 43070246592, 222637403008, 1103015334464, 5258564956736, 24206137227648, 107897964171910, 466891402634624, 1965526100961552, 8065514386997056, 32315388450560032

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn

Links

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

Crossrefs

Column k=32 of A297321.

Programs

Magma

Coefficients(&*[(1+m*x^m)^32:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 24 2018

Mathematica

With[{nmax=50}, CoefficientList[Series[Product[(1+k*q^k)^32, {k,1,nmax}], {q, 0, nmax}],q]] (* G. C. Greubel, Feb 24 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^32)) \\ G. C. Greubel, Feb 24 2018

Extensions

Terms a(18) onward added by G. C. Greubel, Feb 24 2018