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A153252
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Coefficients of the sixth-order mock theta function psi_{-}(q).
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2
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0, 1, 2, 4, 7, 12, 19, 29, 44, 65, 94, 134, 188, 261, 358, 486, 654, 872, 1155, 1519, 1984, 2576, 3325, 4270, 5456, 6939, 8786, 11077, 13912, 17406, 21700, 26961, 33388, 41221, 50739, 62278, 76232, 93067, 113336, 137684, 166873
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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-2))/((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-2, 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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