A022738 Expansion of Product_{m>=1} (1-m*q^m)^-14.
1, 14, 133, 994, 6384, 36568, 191793, 935902, 4300611, 18770612, 78347759, 314391168, 1218102389, 4572965754, 16683909711, 59301765852, 205796230227, 698570164180, 2323198273151, 7580214724124
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))^14:m in [1..n]])); // G. C. Greubel, Jul 25 2018 -
Mathematica
With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^-14, {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)^-14)) \\ G. C. Greubel, Jul 25 2018