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Search: id:A053268
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| A053268 |
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Coefficients of the '6th order' mock theta function phi(q) |
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+0
7
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| 1, -1, 2, -1, 1, -3, 3, -3, 4, -4, 6, -6, 5, -9, 11, -10, 11, -15, 17, -16, 19, -22, 26, -29, 29, -36, 42, -42, 46, -55, 60, -64, 71, -79, 90, -95, 101, -117, 131, -137, 148, -169, 184, -195, 211, -234, 258, -276, 295, -327, 360, -379, 409, -453, 489, -522, 563, -612, 666, -710, 757, -829, 898
(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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, pp. 2, 4, 6, 13, 16, 17
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FORMULA
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G.f.: phi(q) = sum for n >= 0 of (-1)^n q^n^2 (1-q)(1-q^3)...(1-q^(2n-1))/((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-1, 2}]/Product[1+q^k, {k, 1, 2n}], {n, 0, 10}], {q, 0, 100}]
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CROSSREFS
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Other '6th order' mock theta functions are at A053269, A053270, A053271, A053272, A053273, A053274, A053275, A053276.
Sequence in context: A052253 A127838 A017817 this_sequence A101417 A035636 A104554
Adjacent sequences: A053265 A053266 A053267 this_sequence A053269 A053270 A053271
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KEYWORD
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sign,easy
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AUTHOR
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Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 19 1999
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