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A022583
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Expansion of Product_{m>=1} (1+x^m)^18.
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2
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1, 18, 171, 1158, 6309, 29430, 121962, 460008, 1605996, 5254334, 16260867, 47949804, 135509922, 368764290, 970099191, 2475106170, 6141671649, 14856839874, 35107961175, 81189855828, 184033842021, 409446105486, 895231350108, 1925717858910, 4079428991751, 8518121246538
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) ~ (3/2)^(1/4) * exp(Pi * sqrt(6*n)) / (1024 * n^(3/4)). - Vaclav Kotesovec, Mar 05 2015
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MATHEMATICA
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nmax=50; CoefficientList[Series[Product[(1+q^m)^18, {m, 1, nmax}], {q, 0, nmax}], q] (* Vaclav Kotesovec, Mar 05 2015 *)
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PROG
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(PARI) m=50; q='q+O('q^m); Vec(prod(n=1, m, (1+q^n)^18)) \\ G. C. Greubel, Feb 25 2018
(Magma) Coefficients(&*[(1+x^m)^18:m in [1..40]])[1..40] where x is PolynomialRing(Integers()).1; // G. C. Greubel, Feb 25 2018
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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