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Search: id:A053272
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| A053272 |
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Coefficients of the '6th order' mock theta function lambda(q) |
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+0
7
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| 1, -1, 3, -5, 6, -7, 11, -16, 18, -21, 30, -40, 47, -56, 72, -92, 108, -125, 156, -193, 225, -263, 318, -383, 444, -513, 612, -724, 834, -963, 1129, -1320, 1512, -1730, 2010, -2325, 2652, -3022, 3474, -3988, 4524, -5129, 5857, -6673, 7542, -8515, 9660, -10943, 12312, -13842
(list; graph; listen)
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OFFSET
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0,3
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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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 13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.: lambda(q) = sum for n >= 0 of (-q)^n (1-q)(1-q^3)...(1-q^(2n-1))/((1+q)(1+q^2)...(1+q^n))
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MATHEMATICA
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Series[Sum[(-q)^n Product[1-q^k, {k, 1, 2n-1, 2}]/Product[1+q^k, {k, 1, n}], {n, 0, 100}], {q, 0, 100}]
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CROSSREFS
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Other '6th order' mock theta functions are at A053268, A053269, A053270, A053271, A053273, A053274, A053275, A053276.
Sequence in context: A072600 A047582 A015814 this_sequence A138927 A030333 A081677
Adjacent sequences: A053269 A053270 A053271 this_sequence A053273 A053274 A053275
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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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