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A022722 Expansion of Product_{m>=1} (1+m*q^m)^(-30). 2

%I

%S 1,-30,405,-3250,17460,-69456,237485,-817830,2827605,-8867120,

%T 25403229,-73380060,215448665,-595626330,1559581965,-4136899912,

%U 11020769280,-28085275230,69659708200,-174426721890,433560026502

%N Expansion of Product_{m>=1} (1+m*q^m)^(-30).

%H G. C. Greubel, <a href="/A022722/b022722.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-30, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Jul 20 2018 *)

%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^-30)) \\ _G. C. Greubel_, Jul 20 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_

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Last modified May 27 14:33 EDT 2022. Contains 354097 sequences. (Running on oeis4.)