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A327042
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Expansion of Product_{k>=1} 1/((1 - x^k) * (1 - x^(2*k)) * (1 - x^(3*k))).
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5
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1, 1, 3, 5, 10, 15, 29, 42, 72, 107, 170, 246, 382, 541, 807, 1139, 1650, 2292, 3267, 4479, 6261, 8518, 11716, 15771, 21449, 28599, 38430, 50876, 67654, 88854, 117171, 152775, 199785, 258901, 336024, 432744, 558027, 714494, 915555, 1166243, 1485792, 1883031
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OFFSET
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0,3
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COMMENTS
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LINKS
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FORMULA
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a(n) ~ 11 * exp(sqrt(11*n)*Pi/3) / (48*sqrt(3)*n^(3/2)).
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MATHEMATICA
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nmax = 50; CoefficientList[Series[Product[1/((1 - x^k) * (1 - x^(2*k)) * (1 - x^(3*k))), {k, 1, nmax}], {x, 0, nmax}], x]
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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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