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Search: id:A053271
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| A053271 |
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Coefficients of the '6th order' mock theta function sigma(q) |
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+0
7
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| 0, 1, 1, 2, 3, 3, 5, 7, 8, 11, 14, 17, 22, 28, 33, 41, 51, 60, 74, 89, 105, 127, 151, 177, 210, 248, 289, 340, 398, 461, 537, 624, 719, 832, 960, 1101, 1267, 1453, 1660, 1899, 2167, 2465, 2807, 3190, 3614, 4097, 4638, 5237, 5915, 6671, 7507, 8450, 9498
(list; graph; listen)
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OFFSET
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0,4
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REFERENCES
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George E. Andrews and Dean Hickerson, Ramanujan's "lost" notebook VII: The sixth order mock theta functions, Advances in Mathematics, 89 (1991) 60-105
Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 13
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FORMULA
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G.f.: sigma(q) = sum for n >= 0 of q^((n+1)(n+2)/2) (1+q)(1+q^2)...(1+q^n)/((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^k, {k, 1, n}]/Product[1-q^k, {k, 1, 2n+1, 2}], {n, 0, 12}], {q, 0, 100}]
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CROSSREFS
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Other '6th order' mock theta functions are at A053268, A053269, A053270, A053272, A053273, A053274, A053275, A053276.
Sequence in context: A086786 A047844 A081217 this_sequence A035360 A027587 A030729
Adjacent sequences: A053268 A053269 A053270 this_sequence A053272 A053273 A053274
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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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