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A053282 Coefficients of the '10th order' mock theta function psi(q) 3
0, 1, 1, 2, 2, 2, 4, 4, 4, 6, 7, 8, 10, 11, 12, 16, 18, 20, 24, 26, 30, 36, 40, 44, 52, 58, 64, 74, 82, 91, 104, 116, 128, 144, 159, 176, 198, 218, 240, 268, 294, 324, 360, 394, 432, 478, 524, 572, 630, 688, 752, 826, 900, 980, 1072, 1168, 1270, 1386, 1505, 1634 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

REFERENCES

Youn-Seo Choi, Tenth order mock theta functions in Ramanujan's lost notebook, Inventiones Mathematicae, 136 (1999) 497-569

Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 9

LINKS

Table of n, a(n) for n=0..59.

FORMULA

G.f.: psi(q) = sum for n >= 0 of q^((n+1)(n+2)/2)/((1-q)(1-q^3)...(1-q^(2n+1)))

MATHEMATICA

Series[Sum[q^((n+1)(n+2)/2)/Product[1-q^(2k+1), {k, 0, n}], {n, 0, 12}], {q, 0, 100}]

CROSSREFS

Other '10th order' mock theta functions are at A053281, A053283, A053284.

Sequence in context: A086160 A029047 A007294 * A218084 A240046 A001584

Adjacent sequences:  A053279 A053280 A053281 * A053283 A053284 A053285

KEYWORD

nonn,easy

AUTHOR

Dean Hickerson, Dec 19 1999

STATUS

approved

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Last modified December 8 16:27 EST 2016. Contains 278946 sequences.