|
| |
|
|
A153178
|
|
Coefficients of the eighth order mock theta function V_1(q).
|
|
0
| |
|
|
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; refs; listen; history; internal format)
|
|
|
|
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: A017864 A188937 A029035 * A118302 A205216 A017853
Adjacent sequences: A153175 A153176 A153177 * A153179 A153180 A153181
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Jeremy Lovejoy (lovejoy(AT)liafa.jussieu.fr), Dec 20 2008
|
| |
|
|