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A035364
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Number of partitions of n into parts 4k or 4k+3.
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1
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0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 4, 4, 2, 5, 8, 7, 5, 10, 14, 12, 11, 19, 24, 22, 21, 33, 41, 37, 38, 58, 67, 62, 68, 95, 108, 103, 114, 155, 172, 166, 188, 246, 268, 264, 303, 384, 413, 415, 477, 588, 630, 640, 737, 893, 948, 975, 1125, 1333, 1412, 1470, 1688
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OFFSET
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1,7
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LINKS
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FORMULA
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a(n) ~ exp(Pi*sqrt(n/3)) * (2/Pi)^(1/4) * Gamma(7/4) / (3 * 3^(5/8) * n^(9/8)). - Vaclav Kotesovec, Aug 27 2015
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MATHEMATICA
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nmax = 100; Rest[CoefficientList[Series[Product[1/((1 - x^(4k+4))*(1 - x^(4k+3))), {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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