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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,11

REFERENCES

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

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^(2n-1))/((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*k-1)) / 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 * A016194 A037871 A037853

Adjacent sequences:  A153169 A153170 A153171 * A153173 A153174 A153175

KEYWORD

sign

AUTHOR

Jeremy Lovejoy, Dec 20 2008

STATUS

approved

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Last modified April 24 03:19 EDT 2014. Contains 240947 sequences.