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 A153148 Coefficients of the eighth order mock theta function S_0(q). 7
 1, 1, 1, -1, 0, 2, 0, -1, 0, 1, 1, -2, 0, 3, 0, -2, -1, 3, 1, -4, 0, 4, 1, -4, -1, 5, 2, -6, -2, 7, 0, -6, -1, 7, 3, -9, -1, 10, 1, -10, -2, 11, 3, -14, -3, 15, 2, -14, -3, 17, 5, -19, -4, 21, 3, -22, -5, 23, 7, -28, -5, 30, 5, -30, -7, 34, 8, -38, -7, 41, 7 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS B. Gordon and R. J. McIntosh, Some eighth order mock theta functions, J. London Math. Soc. 62 (2000), 321-335. FORMULA G.f.: Sum_{n >= 0} q^(n^2)(1+q)(1+q^3)...(1+q^(2n-1))/(1+q^2)(1+q^4)...(1+q^(2n)). PROG (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^(2*k))); Vec(gf) \\ Michel Marcus, Jun 18 2013 CROSSREFS Other '8th order' mock theta functions are at A153149, A153155, A153156, A153172, A153174, A153176, A153178. Sequence in context: A066416 A091991 A108234 * A091830 A029427 A132343 Adjacent sequences:  A153145 A153146 A153147 * A153149 A153150 A153151 KEYWORD sign AUTHOR Jeremy Lovejoy, Dec 19 2008 EXTENSIONS More terms from Michel Marcus, Feb 23 2015 STATUS approved

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