

A153172


Coefficients of the eighth order mock theta function U_0(q).


7



1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 3, 2, 0, 2, 2, 2, 1, 3, 3, 1, 1, 2, 4, 2, 0, 2, 4, 3, 1, 4, 4, 3, 1, 5, 5
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OFFSET

0,11


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..50.


FORMULA

U_0(q) = Sum_{n >= 0} q^(n^2) (1+q)(1+q^3)...(1+q^(2n1))/((1+q^4)(1+q^8)...(1+q^(4n)))


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*k1)) / prod(k = 1, n, 1 + q^(4*k))); Vec(gf) \\ Michel Marcus, Jun 18 2013


CROSSREFS

Other '8th order' mock theta functions are at A153148, A153149, A153155, A153156, A153174, A153176, A153178.
Sequence in context: A024359 A088705 A065712 * A242498 A016194 A037871
Adjacent sequences: A153169 A153170 A153171 * A153173 A153174 A153175


KEYWORD

sign


AUTHOR

Jeremy Lovejoy, Dec 20 2008


STATUS

approved



