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Search: id:A053266
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| A053266 |
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Coefficients of the '5th order' mock theta function Phi(q) |
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+0
12
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| 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 8, 8, 9, 10, 12, 12, 14, 15, 17, 18, 20, 21, 25, 26, 29, 31, 35, 36, 41, 43, 48, 51, 56, 59, 66, 70, 76, 81, 89, 94, 103, 109, 119, 126, 137, 144, 158, 167, 180, 191, 207, 218, 236, 250, 269, 285, 306, 323, 349, 368
(list; graph; listen)
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OFFSET
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0,6
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REFERENCES
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George E. Andrews and Frank G. Garvan, Ramanujan's "lost" notebook VI: The mock theta conjectures, Advances in Mathematics, 73 (1989) 242-255
Dean Hickerson, A proof of the mock theta conjectures, Inventiones Mathematicae, 94 (1988) 639-660
Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, pp. 18, 20, 23
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FORMULA
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G.f.: Phi(q) = -1 + sum for n >= 0 of q^(5n^2)/((1-q)(1-q^4)(1-q^6)(1-q^9)...(1-q^(5n+1)))
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MATHEMATICA
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Series[Sum[q^(5n^2)/Product[1-q^Abs[5k+1], {k, -n, n}], {n, 0, 4}], {q, 0, 100}]-1
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CROSSREFS
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Other '5th order' mock theta functions are at A053256, A053257, A053258, A053259, A053260, A053261, A053262, A053263, A053264, A053265, A053267.
Sequence in context: A071903 A091372 A068980 this_sequence A112217 A094994 A026839
Adjacent sequences: A053263 A053264 A053265 this_sequence A053267 A053268 A053269
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KEYWORD
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nonn,easy
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AUTHOR
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Dean Hickerson (dean.hickerson(AT)yahoo.com), Dec 19 1999
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