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Search: id:A053273
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| A053273 |
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Coefficients of the '6th order' mock theta function 2 mu(q) |
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+0
7
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| 1, 2, -3, 4, -4, 6, -11, 14, -15, 22, -31, 34, -41, 56, -69, 82, -98, 120, -152, 178, -204, 254, -308, 354, -415, 496, -587, 680, -785, 922, -1084, 1248, -1427, 1664, -1935, 2202, -2517, 2906, -3336, 3798, -4315, 4930, -5636, 6380, -7202, 8194, -9305, 10474, -11801, 13342, -15050
(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Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 13
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FORMULA
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G.f.: 2 mu(q) = 1 + sum for n >= 0 of (-1)^n q^(n+1) (1+q^n) (1-q)(1-q^3)...(1-q^(2n-1))/((1+q)(1+q^2)...(1+q^(n+1)))
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MATHEMATICA
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Series[1+Sum[(-1)^n q^(n+1) (1+q^n) Product[1-q^k, {k, 1, 2n-1, 2}]/Product[1+q^k, {k, 1, n+1}], {n, 0, 99}], {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, A053274, A053275, A053276.
Sequence in context: A074139 A017832 A056880 this_sequence A049988 A079247 A006087
Adjacent sequences: A053270 A053271 A053272 this_sequence A053274 A053275 A053276
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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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