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 A022734 Expansion of Product_{m>=1} (1-m*q^m)^-10. 2

%I #9 Sep 08 2022 08:44:46

%S 1,10,75,450,2375,11302,49820,205900,807195,3023020,10883842,37840290,

%T 127544465,418051040,1336017805,4172140618,12755565695,38242019080,

%U 112591545060,325939921700,928795211589,2607843351420

%N Expansion of Product_{m>=1} (1-m*q^m)^-10.

%H G. C. Greubel, <a href="/A022734/b022734.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 - k*q^k)^-10, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Jul 25 2018 *)

%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1-n*q^n)^-10)) \\ _G. C. Greubel_, Jul 25 2018

%o (Magma) n:=50; R<x>:=PowerSeriesRing(Integers(), n); Coefficients(R!(&*[(1/(1-m*x^m))^10:m in [1..n]])); // _G. C. Greubel_, Jul 25 2018

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified August 9 14:37 EDT 2024. Contains 375042 sequences. (Running on oeis4.)