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%I #18 Sep 08 2022 08:44:46
%S 1,15,135,950,5670,30003,144680,647055,2717760,10820640,41128374,
%T 150073470,528074655,1798537380,5947216050,19142919543,60113026305,
%U 184513760775,554517086825,1634047143090,4727605374594,13444544485435,37620762642885,103678546403985,281639925782930
%N Expansion of Product_{m>=1} (1 + m*q^m)^15.
%H G. C. Greubel, <a href="/A022643/b022643.txt">Table of n, a(n) for n = 0..1000</a>
%p [seq(coeff(series(mul((1+m*q^m)^(15), m=1..100),q,101),q,j),j=0..25)]; # _Muniru A Asiru_, Feb 18 2018
%t With[{nmax = 50}, CoefficientList[Series[Product[(1 + k*q^k)^15, {k, 1, nmax}], {q, 0, nmax}], q]] (* _G. C. Greubel_, Feb 17 2018 *)
%o (PARI) m=50; q='q+O('q^m); Vec(prod(n=1,m,(1+n*q^n)^15)) \\ _G. C. Greubel_, Feb 17 2018
%o (Magma) Coefficients(&*[(1+m*x^m)^15:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Feb 17 2018
%Y Column k=15 of A297321.
%K nonn
%O 0,2
%A _N. J. A. Sloane_
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