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A022638 Expansion of Product_{m>=1} (1 + m*q^m)^10. 2

%I

%S 1,10,65,350,1630,6852,26635,97030,334990,1104730,3500740,10710950,

%T 31763985,91589730,257459110,707115814,1901162925,5011993330,

%U 12974420315,33021646490,82723179433,204175881220,496953703885,1193736868990,2832017802500,6639914803684

%N Expansion of Product_{m>=1} (1 + m*q^m)^10.

%H G. C. Greubel, <a href="/A022638/b022638.txt">Table of n, a(n) for n = 0..1000</a>

%p [seq(coeff(series(mul((1+m*q^m)^(10), 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)^10, {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)^10)) \\ _G. C. Greubel_, Feb 17 2018

%o (MAGMA) Coefficients(&*[(1+m*x^m)^10:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // _G. C. Greubel_, Feb 17 2018

%Y Column k=10 of A297321.

%K nonn

%O 0,2

%A _N. J. A. Sloane_

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Last modified November 11 22:31 EST 2019. Contains 329046 sequences. (Running on oeis4.)