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A022588
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Expansion of Product_{m>=1} (1 + x^m)^23.
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2
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1, 23, 276, 2323, 15479, 87101, 430445, 1917349, 7839849, 29824583, 106646308, 361327079, 1167406906, 3615602714, 10780913004, 31061653709, 86741652761, 235404301651, 622271232287, 1605432041576, 4049617772390, 10002785010369, 24227747380447, 57613905606273, 134662398395411
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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) ~ (23/3)^(1/4) * exp(Pi * sqrt(23*n/3)) / (8192 * 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)^23, {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)^23)) \\ G. C. Greubel, Feb 25 2018
(Magma) Coefficients(&*[(1+x^m)^23: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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