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A153178 Coefficients of the eighth order mock theta function V_1(q). +0
1
0, 1, 1, 1, 2, 3, 3, 4, 5, 6, 8, 9, 11, 14, 16, 19, 23, 27, 31, 37, 43, 49, 58, 66, 76, 89, 101, 115, 132, 150, 170, 194, 219, 247, 280, 315, 354, 399, 447, 500, 562, 627, 699, 781, 869, 967, 1076, 1194, 1323, 1468, 1625 (list; graph; listen)
OFFSET

0,5

REFERENCES

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

FORMULA

V_1(q) = Sum_{n >= 0} q^((n+1)^2)(1+q)(1+q^3)...(1+q^(2n-1))/((1-q)(1-q^3)...(1-q^(2n+1))).

CROSSREFS

Sequence in context: A026838 A017864 A029035 this_sequence A118302 A017853 A125616

Adjacent sequences: A153175 A153176 A153177 this_sequence A153179 A153180 A153181

KEYWORD

nonn

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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