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Search: id:A053270
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| A053270 |
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Coefficients of the '6th order' mock theta function rho(q) |
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+0
7
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| 1, 2, 3, 4, 6, 8, 11, 14, 18, 24, 30, 38, 47, 58, 72, 88, 108, 130, 156, 188, 225, 268, 318, 376, 444, 522, 612, 716, 834, 972, 1129, 1308, 1512, 1744, 2010, 2310, 2652, 3038, 3474, 3968, 4524, 5152, 5857, 6650, 7542, 8540, 9660, 10912, 12312, 13878
(list; graph; listen)
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OFFSET
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0,2
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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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, pp. 3, 13
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FORMULA
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G.f.: rho(q) = sum for n >= 0 of q^(n(n+1)/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(n+1)/2) Product[1+q^k, {k, 1, n}]/Product[1-q^k, {k, 1, 2n+1, 2}], {n, 0, 13}], {q, 0, 100}]
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CROSSREFS
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Other '6th order' mock theta functions are at A053268, A053269, A053271, A053272, A053273, A053274, A053275, A053276.
Sequence in context: A034891 A143611 A062464 this_sequence A003412 A038348 A035945
Adjacent sequences: A053267 A053268 A053269 this_sequence A053271 A053272 A053273
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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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