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Search: id:A053274
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| A053274 |
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Coefficients of the '6th order' mock theta function gamma(q) |
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+0
7
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| 1, 1, -1, 0, 2, -2, -1, 3, -2, 0, 3, -4, -1, 5, -3, -1, 6, -6, -2, 7, -6, 0, 9, -8, -3, 11, -9, -2, 13, -13, -3, 17, -12, -3, 19, -18, -5, 22, -19, -3, 27, -24, -7, 33, -26, -5, 36, -34, -9, 44, -35, -9, 51, -45, -11, 58, -49, -9, 68, -59, -16, 78, -65, -15, 88, -79, -19, 104, -84, -19, 117, -102, -26, 133, -112, -24, 152, -131
(list; graph; listen)
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OFFSET
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0,5
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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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 17
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FORMULA
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G.f.: gamma(q) = sum for n >= 0 of q^n^2/((1+q+q^2)(1+q^2+q^4)...(1+q^n+q^(2n)))
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MATHEMATICA
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Series[Sum[q^n^2/Product[1+q^k+q^(2k), {k, 1, n}], {n, 0, 10}], {q, 0, 100}]
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CROSSREFS
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Other '6th order' mock theta functions are at A053268, A053269, A053270, A053271, A053272, A053273, A053275, A053276.
Adjacent sequences: A053271 A053272 A053273 this_sequence A053275 A053276 A053277
Sequence in context: A044924 A057036 A069004 this_sequence A026146 A094366 A124018
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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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