

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
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OFFSET

0,2


REFERENCES

B. Gordon and R. J. McIntosh, Some eighth order mock theta functions, J. London Math. Soc. 62 (2000), 321335.


LINKS

Table of n, a(n) for n=0..32.


FORMULA

V_0(q) = 1 + 2Sum_{n >= 0} q^(n^2)(1+q)(1+q^3)...(1+q^(2n1))/((1q)(1q^3)...(1q^(2n1))).


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*k1)) / prod(k = 1, n, 1  q^(2*k1))); 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 A112921 A215205
Adjacent sequences: A153173 A153174 A153175 * A153177 A153178 A153179


KEYWORD

nonn


AUTHOR

Jeremy Lovejoy, Dec 20 2008


STATUS

approved



