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Search: id:A053283
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| A053283 |
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Coefficients of the '10th order' mock theta function X(q) |
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+0
4
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| 1, -1, 1, 0, 1, -2, 1, -1, 1, -2, 3, -1, 2, -4, 3, -2, 3, -5, 4, -4, 5, -6, 7, -5, 6, -9, 9, -7, 9, -12, 11, -11, 12, -15, 16, -14, 16, -21, 20, -18, 22, -25, 26, -25, 28, -33, 34, -33, 35, -42, 43, -41, 47, -53, 53, -54, 57, -65, 69, -67, 73, -83, 85, -83, 92, -102, 104, -106, 114, -125, 130, -130, 139, -154
(list; graph; listen)
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OFFSET
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0,6
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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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 9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.: X(q) = sum for n >= 0 of (-1)^n q^n^2/((1+q)(1+q^2)...(1+q^(2n)))
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MATHEMATICA
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Series[Sum[(-1)^n q^n^2/Product[1+q^k, {k, 1, 2n}], {n, 0, 10}], {q, 0, 100}]
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CROSSREFS
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Other '10th order' mock theta functions are at A053281, A053282, A053284.
Sequence in context: A000188 A097886 A088863 this_sequence A035669 A126863 A106806
Adjacent sequences: A053280 A053281 A053282 this_sequence A053284 A053285 A053286
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KEYWORD
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sign,easy
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AUTHOR
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Dean Hickerson (dean(AT)math.ucdavis.edu), Dec 19 1999
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