

A153178


Coefficients of the eighth order mock theta function V_1(q).


7



0, 1, 1, 1, 2, 3, 3, 4, 5, 6, 8, 9, 11, 14, 16, 19, 23, 27, 31, 37, 43, 49, 58, 66, 76, 89, 101, 115, 132, 150, 170, 194, 219, 247, 280, 315, 354, 399, 447, 500, 562, 627, 699, 781, 869, 967, 1076, 1194, 1323, 1468, 1625, 1796, 1987, 2193, 2418, 2668, 2937, 3231
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OFFSET

0,5


LINKS

Table of n, a(n) for n=0..57.
B. Gordon and R. J. McIntosh, Some eighth order mock theta functions, J. London Math. Soc. 62 (2000), 321335.


FORMULA

V_1(q) = Sum_{n >= 0} q^((n+1)^2)(1+q)(1+q^3)...(1+q^(2n1))/((1q)(1q^3)...(1q^(2n+1))).


PROG

(PARI) lista(nn) = {my(q = qq + O(qq^nn)); gf = sum(n = 0, nn, q^((n+1)^2) * prod(k = 1, n, 1 + q^(2*k1)) / prod(k = 0, n, 1  q^(2*k+1))); for (i=0, nn1, print1(polcoeff(gf, i), ", "); ); } \\ Michel Marcus, Jun 18 2013


CROSSREFS

Other '8th order' mock theta functions are at A153148, A153149, A153155, A153156, A153172, A153174, A153176.
Sequence in context: A017864 A188937 A029035 * A118302 A205216 A017853
Adjacent sequences: A153175 A153176 A153177 * A153179 A153180 A153181


KEYWORD

nonn


AUTHOR

Jeremy Lovejoy, Dec 20 2008


EXTENSIONS

More terms from Michel Marcus, Feb 23 2015


STATUS

approved



