

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
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OFFSET

0,4


REFERENCES

YounSeo Choi, Tenth order mock theta functions in Ramanujan's lost notebook, Inventiones Mathematicae, 136 (1999) 497569
Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 9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)/((1q)(1q^3)...(1q^(2n+1)))


MATHEMATICA

Series[Sum[q^((n+1)(n+2)/2)/Product[1q^(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



