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Expansion of Product_{m>=1} (1+m*q^m)^-15.
2

%I #9 Jul 20 2018 06:03:49

%S 1,-15,90,-275,555,-1653,6185,-14745,27390,-77370,222210,-454050,

%T 935885,-2388795,5531835,-11402626,24305100,-53821020,117704765,

%U -244275885,494231898,-1048892855,2216119785,-4418663160,8855734025

%N Expansion of Product_{m>=1} (1+m*q^m)^-15.

%H G. C. Greubel, <a href="/A022707/b022707.txt">Table of n, a(n) for n = 0..1000</a>

%t With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^-15, {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)^-15)) \\ _G. C. Greubel_, Jul 20 2018

%K sign

%O 0,2

%A _N. J. A. Sloane_