A022734 Expansion of Product_{m>=1} (1-m*q^m)^-10.
1, 10, 75, 450, 2375, 11302, 49820, 205900, 807195, 3023020, 10883842, 37840290, 127544465, 418051040, 1336017805, 4172140618, 12755565695, 38242019080, 112591545060, 325939921700, 928795211589, 2607843351420
Offset: 0
Keywords
Links
- G. C. Greubel, Table of n, a(n) for n = 0..1000
Programs
-
Magma
n:=50; R
:=PowerSeriesRing(Integers(), n); Coefficients(R!(&*[(1/(1-m*x^m))^10:m in [1..n]])); // G. C. Greubel, Jul 25 2018 -
Mathematica
With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^-10, {k, 1, nmax}], {q, 0, nmax}], q]] (* G. C. Greubel, Jul 25 2018 *) -
PARI
m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^-10)) \\ G. C. Greubel, Jul 25 2018