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Search: id:A053282
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| A053282 |
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Coefficients of the '10th order' mock theta function psi(q) |
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+0
4
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| 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; listen)
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OFFSET
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0,4
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REFERENCES
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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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 9
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FORMULA
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G.f.: psi(q) = sum for n >= 0 of q^((n+1)(n+2)/2)/((1-q)(1-q^3)...(1-q^(2n+1)))
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MATHEMATICA
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Series[Sum[q^((n+1)(n+2)/2)/Product[1-q^(2k+1), {k, 0, n}], {n, 0, 12}], {q, 0, 100}]
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CROSSREFS
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Other '10th order' mock theta functions are at A053281, A053283, A053284.
Sequence in context: A086160 A029047 A007294 this_sequence A001584 A112801 A089873
Adjacent sequences: A053279 A053280 A053281 this_sequence A053283 A053284 A053285
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KEYWORD
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nonn,easy
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AUTHOR
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Dean Hickerson (dean(AT)math.ucdavis.edu), Dec 19 1999
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