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 A153155 Coefficients of the eighth order mock theta function T_0(q). 7
 0, 0, 1, -1, 1, -1, 2, -2, 3, -4, 4, -5, 7, -7, 9, -11, 12, -15, 18, -20, 24, -28, 32, -37, 43, -48, 56, -65, 72, -83, 95, -106, 122, -138, 154, -174, 197, -220, 247, -278, 309, -346, 388, -430, 480, -535, 592, -659, 732, -808, 896, -992, 1094, -1209, 1335 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 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+1)(n+2)) (1+q^2)(1+q^4)...(1+q^(2n))/(1+q)(1+q^3)...(1+q^(2n+1)). PROG (PARI) lista(nn) = {my(q = qq + O(qq^nn)); gf = sum(n = 0, nn, q^((n+1)*(n+2)) * prod(k = 1, n, 1 + q^(2*k)) / prod(k = 0, n, 1 + q^(2*k+1))); for (i=0, nn, print1(polcoeff(gf, i), ", "); ); } \\ Michel Marcus, Jun 18 2013 CROSSREFS Other '8th order' mock theta functions are at A153148, A153149, A153156, A153172, A153174, A153176, A153178. Sequence in context: A097920 A029042 A259200 * A225085 A134310 A259201 Adjacent sequences:  A153152 A153153 A153154 * A153156 A153157 A153158 KEYWORD sign AUTHOR Jeremy Lovejoy, Dec 19 2008 EXTENSIONS More terms from Michel Marcus, Feb 23 2015 STATUS approved

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