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A153251
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Coefficients of the sixth-order mock theta function phi_{-}(q).
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3
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0, 1, 3, 5, 8, 14, 22, 33, 51, 74, 105, 151, 210, 289, 398, 537, 719, 960, 1267, 1660, 2167, 2807, 3614, 4638, 5915, 7507, 9498, 11957, 14994, 18744, 23337, 28959, 35834, 44192, 54338, 66643, 81499, 99407, 120969, 146836, 177820
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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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G.f.: Sum_{n >= 1} q^n (1+q)(1+q^2)...(1+q^(2n-1))/((1-q)(1-q^3)...(1-q^(2n-1))).
a(n) ~ exp(Pi*sqrt(2*n/3)) / (2^(5/2)*sqrt(3*n)). - Vaclav Kotesovec, Jun 13 2019
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PROG
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(PARI) lista(nn) = q = qq + O(qq^nn); gf = sum(n = 1, nn, q^n * prod(k = 1, 2*n-1, 1 + q^k) / prod(k = 1, n, 1 - q^(2*k-1))); concat(0, Vec(gf)) \\ Michel Marcus, Jun 18 2013
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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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