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A304446
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Coefficient of x^n in Product_{k>=1} 1/(1-x^k)^(n^2).
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4
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1, 1, 14, 255, 6460, 209405, 8287038, 387605491, 20930373880, 1281932464680, 87828985857380, 6656774777650459, 553068813860022264, 49988877225605011590, 4883606791114233989450, 512829418039842285746460, 57607740718731604241384432, 6893420862444517638234527039
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) ~ exp(n + 3/2) * n^(n - 1/2) / sqrt(2*Pi).
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MATHEMATICA
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nmax = 20; Table[SeriesCoefficient[Product[1/(1-x^k)^(n^2), {k, 1, n}], {x, 0, n}], {n, 0, nmax}]
nmax = 20; Table[SeriesCoefficient[1/QPochhammer[x]^(n^2), {x, 0, n}], {n, 0, nmax}]
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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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