A022655 Expansion of Product_{m>=1} (1+m*q^m)^27.

1, 27, 405, 4464, 40203, 312444, 2165643, 13683141, 80031483, 438289140, 2267128413, 11153032425, 52470693387, 237149414523, 1033605535770, 4358187468612, 17826413289399, 70901458583850, 274772457017208

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)^27: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)^27,{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)^27)) \\ G. C. Greubel, Jul 18 2018