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A153172
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Coefficients of the eighth-order mock theta function U_0(q).
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8
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1, 1, 1, 0, 1, 0, -1, 1, 0, 1, 2, -1, 0, -1, -1, 1, 0, 2, 1, 0, 1, -2, -2, 1, 0, 2, 3, -2, 0, -2, -2, 2, -1, 3, 3, -1, 1, -2, -4, 2, 0, 2, 4, -3, 1, -4, -4, 3, -1, 5, 5, -2, 2, -4, -6, 3, -2, 5, 7, -4, 0, -6, -6, 4, -1, 7, 7, -4, 3, -7, -9, 5, -1, 7, 10, -6, 1
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OFFSET
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0,11
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LINKS
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FORMULA
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U_0(q) = Sum_{n >= 0} q^(n^2) (1+q)(1+q^3)...(1+q^(2n-1))/((1+q^4)(1+q^8)...(1+q^(4n))).
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PROG
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(PARI) lista(nn) = my(q = qq + O(qq^nn)); gf = sum(n = 0, nn, q^(n^2) * prod(k = 1, n, 1 + q^(2*k-1)) / prod(k = 1, n, 1 + q^(4*k))); Vec(gf) \\ Michel Marcus, Jun 18 2013
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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