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A261610
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Expansion of Product_{k>=0} (1 + x^(3*k+1))/(1 - x^(3*k+1)).
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10
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1, 2, 2, 2, 4, 6, 6, 8, 12, 14, 16, 22, 28, 32, 40, 50, 58, 70, 86, 100, 118, 144, 168, 194, 232, 272, 312, 366, 428, 490, 568, 660, 754, 866, 1000, 1140, 1300, 1492, 1696, 1924, 2196, 2490, 2812, 3192, 3610, 4062, 4588, 5174, 5806, 6530, 7342, 8218, 9208
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..52.
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FORMULA
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a(n) ~ exp(Pi*sqrt(n/3)) * Gamma(1/3) / (2^(5/3) * 3^(1/3) * Pi^(2/3) * n^(2/3)).
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MATHEMATICA
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nmax = 60; CoefficientList[Series[Product[(1 + x^(3*k+1))/(1 - x^(3*k+1)), {k, 0, nmax}], {x, 0, nmax}], x]
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CROSSREFS
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Cf. A015128, A080054, A261611.
Sequence in context: A292728 A096575 A002722 * A265251 A336032 A093393
Adjacent sequences: A261607 A261608 A261609 * A261611 A261612 A261613
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KEYWORD
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nonn
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AUTHOR
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Vaclav Kotesovec, Aug 26 2015
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STATUS
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approved
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