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A153176 Coefficients of the eighth order mock theta function V_0(q). 7
1, 2, 4, 4, 6, 8, 8, 12, 16, 18, 24, 28, 32, 40, 48, 56, 66, 80, 92, 108, 128, 144, 168, 196, 224, 258, 296, 336, 384, 440, 496, 564, 640, 720, 816, 920, 1030, 1160, 1304, 1456, 1632, 1824, 2032, 2268, 2528, 2808, 3120, 3468, 3840, 4258, 4716, 5208, 5760, 6360 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..53.

B. Gordon and R. J. McIntosh, Some eighth order mock theta functions, J. London Math. Soc. 62 (2000), 321-335.

FORMULA

V_0(q) = -1 + 2Sum_{n >= 0} q^(n^2)(1+q)(1+q^3)...(1+q^(2n-1))/((1-q)(1-q^3)...(1-q^(2n-1))).

PROG

(PARI) lista(nn) = my(q = qq + O(qq^nn)); gf = -1 + 2* sum(n = 0, nn, q^(n^2) * prod(k = 1, n, 1 + q^(2*k-1)) / prod(k = 1, n, 1 - q^(2*k-1))); Vec(gf) \\ Michel Marcus, Jun 18 2013

CROSSREFS

Other '8th order' mock theta functions are at A153148, A153149, A153155, A153156, A153172, A153174, A153178.

Sequence in context: A063224 A023847 A000061 * A229144 A263021 A112921

Adjacent sequences:  A153173 A153174 A153175 * A153177 A153178 A153179

KEYWORD

nonn

AUTHOR

Jeremy Lovejoy, Dec 20 2008

EXTENSIONS

More terms from Michel Marcus, Feb 23 2015

STATUS

approved

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Last modified December 4 21:09 EST 2016. Contains 278755 sequences.