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A022724 Expansion of Product_{m>=1} (1+m*q^m)^-32. 2

%I

%S 1,-32,464,-4032,23624,-102208,369152,-1288640,4532900,-14879712,

%T 44466784,-129948864,386117312,-1105967680,2987155392,-7997827968,

%U 21623750538,-56758985984,143841619760,-363972575296,920811469312

%N Expansion of Product_{m>=1} (1+m*q^m)^-32.

%H G. C. Greubel, <a href="/A022724/b022724.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-32, {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)^-32)) \\ _G. C. Greubel_, Jul 25 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_

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Last modified January 22 12:12 EST 2022. Contains 350481 sequences. (Running on oeis4.)