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A281501
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Number of partitions of n^3 into distinct parts.
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2
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1, 1, 6, 192, 16444, 3207086, 1258238720, 916112394270, 1168225267521350, 2496696209705056142, 8635565795744155161506, 46977052491046305327286932, 392416122247953159916295467008, 4931628582570689013431218105121792, 91603865924570978521516549662581412000
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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) = [x^(n^3)] Product_{k>=1} (1 + x^k).
a(n) ~ exp(Pi*n^(3/2)/sqrt(3))/(4*3^(1/4)*n^(9/4)).
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EXAMPLE
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a(2) = 6 because we have [8], [7, 1], [6, 2], [5, 3], [5, 2, 1] and [4, 3, 1].
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MATHEMATICA
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Table[PartitionsQ[n^3], {n, 0, 10}]
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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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