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Expansion of Product_{m>=1} (1+m*q^m)^-22.
2

%I #9 Jul 20 2018 03:47:06

%S 1,-22,209,-1122,3894,-10956,35123,-120362,337106,-821854,2257728,

%T -6472050,15946777,-37180990,95117858,-239904786,552195127,

%U -1268645554,3023055717,-7022547026,15717464257,-35081020348

%N Expansion of Product_{m>=1} (1+m*q^m)^-22.

%H G. C. Greubel, <a href="/A022714/b022714.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-22, {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)^-22)) \\ _G. C. Greubel_, Jul 20 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_