A022650 Expansion of Product_{m>=1} (1+m*q^m)^22.

1, 22, 275, 2574, 19943, 134618, 816596, 4543396, 23522279, 114532572, 528773278, 2329635750, 9845310101, 40080724376, 157739993037, 601928809878, 2232820512417, 8069089487932, 28463636262974, 98170848275720, 331548644228131, 1097891113532048, 3568885868192419

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)^22:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Mar 20 2018

Mathematica

With[{nmax=50}, CoefficientList[Series[Product[(1+m*q^m)^22,{m,1,nmax}],{q,0,nmax}],q]] (* G. C. Greubel, Mar 20 2018 *)

PARI

m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^22)) \\ G. C. Greubel, Mar 20 2018

Extensions

Terms a(19) onward added by G. C. Greubel, Mar 20 2018