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A035373
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Number of partitions of n into parts 5k+2 or 5k+4.
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1
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0, 1, 0, 2, 0, 2, 1, 3, 2, 3, 3, 5, 4, 7, 5, 10, 7, 13, 10, 16, 15, 20, 20, 26, 26, 34, 33, 45, 42, 56, 55, 70, 71, 86, 91, 109, 113, 136, 140, 170, 174, 209, 217, 255, 270, 311, 331, 381, 404, 465, 491, 565, 597, 681, 726, 820, 878, 985, 1056, 1185, 1265, 1419, 1515
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OFFSET
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1,4
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LINKS
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FORMULA
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a(n) ~ exp(2*Pi*sqrt(n/15)) * Gamma(2/5) * Gamma(4/5) / (4 * 3^(7/20) * 5^(3/20) * Pi^(4/5) * n^(17/20)). - Vaclav Kotesovec, Aug 27 2015
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MATHEMATICA
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nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(5k+2))*(1 - x^(5k+4))), {k, 0, nmax}], {x, 0, nmax}], x]] (* Vaclav Kotesovec, Aug 27 2015 *)
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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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