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Search: id:A053284
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| A053284 |
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Coefficients of the '10th order' mock theta function chi(q) |
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+0
4
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| 0, 1, -1, 1, -2, 2, -1, 2, -3, 3, -3, 3, -4, 4, -4, 5, -6, 7, -6, 7, -9, 8, -8, 10, -12, 13, -13, 13, -16, 17, -16, 19, -21, 22, -23, 25, -28, 29, -30, 33, -37, 39, -39, 42, -48, 49, -50, 55, -60, 64, -66, 70, -77, 81, -82, 89, -97, 101, -105, 112, -121, 126, -131, 140, -151, 159, -163, 173, -187, 194, -202
(list; graph; listen)
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OFFSET
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0,5
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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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 9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.: chi(q) = sum for n >= 0 of (-1)^n q^(n+1)^2/((1+q)(1+q^2)...(1+q^(2n+1)))
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MATHEMATICA
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Series[Sum[(-1)^n q^(n+1)^2/Product[1+q^k, {k, 1, 2n+1}], {n, 0, 9}], {q, 0, 100}]
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CROSSREFS
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Other '10th order' mock theta functions are at A053281, A053282, A053283.
Sequence in context: A029335 A029257 A127830 this_sequence A050371 A022871 A127218
Adjacent sequences: A053281 A053282 A053283 this_sequence A053285 A053286 A053287
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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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