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A153174 Coefficients of the eighth order mock theta function U_1(q). +0
1
0, 1, 0, -1, 1, 2, -1, -2, 1, 3, -1, -4, 2, 5, -2, -6, 3, 8, -4, -9, 4, 11, -5, -14, 7, 17, -7, -20, 9, 24, -11, -28, 12, 33, -15, -39, 18, 46, -20, -53, 24, 62, -28, -72, 32, 83, -37, -96, 43, 110, -48 (list; graph; listen)
OFFSET

0,6

REFERENCES

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

FORMULA

G.f: Sum_{n >= 0} q^((n+1)^2)(1+q)(1+q^3)...(1+q^(2n-1))/((1+q^2)(1+q^6)...(1+q^(4n+2))).

CROSSREFS

Sequence in context: A105259 A029229 A029216 this_sequence A138222 A138224 A046205

Adjacent sequences: A153171 A153172 A153173 this_sequence A153175 A153176 A153177

KEYWORD

sign

AUTHOR

Jeremy Lovejoy (lovejoy(AT)liafa.jussieu.fr), Dec 20 2008

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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