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Search: id:A053255
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| A053255 |
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Coefficients of the '3rd order' mock theta function rho(q) |
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+0
8
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| 1, -1, 0, 1, 0, -1, 1, -1, 0, 1, -1, 0, 2, -1, -1, 1, -1, -1, 2, -1, 0, 2, -1, -1, 2, -2, -1, 3, -2, -1, 3, -2, -1, 3, -2, -1, 4, -3, -1, 4, -2, -2, 4, -3, -2, 5, -4, -2, 6, -3, -2, 6, -4, -2, 7, -5, -2, 7, -5, -3, 8, -6, -3, 9, -6, -3, 10, -6, -4, 10, -7, -4, 12, -8, -4, 13, -8, -5, 13, -9, -5, 15, -10, -5, 16, -11, -6, 17, -12, -7, 19, -13, -6, 21, -13
(list; graph; listen)
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OFFSET
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0,13
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REFERENCES
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Leila A. Dragonette, Some asymptotic formulae for the mock theta functions of Ramanujan, Trans. Amer. Math. Soc., 72 (1952) 474-500
Srinivasa Ramanujan, The Lost Notebook and Other Unpublished Papers, Narosa Publishing House, New Delhi, 1988, p. 15
George N. Watson, The final problem: an account of the mock theta functions, J. London Math. Soc., 11 (1936) 55-80
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FORMULA
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G.f.: rho(q) = sum for n >= 0 of q^(2n(n+1))/((1+q+q^2)(1+q^3+q^6)...(1+q^(2n+1)+q^(4n+2)))
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MATHEMATICA
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Series[Sum[q^(2n(n+1))/Product[1+q^(2k+1)+q^(4k+2), {k, 0, n}], {n, 0, 6}], {q, 0, 100}]
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CROSSREFS
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Other '3rd order' mock theta functions are at A000025, A053250, A053251, A053252, A053253, A053254.
Sequence in context: A155869 A154338 A087436 this_sequence A085856 A132126 A031264
Adjacent sequences: A053252 A053253 A053254 this_sequence A053256 A053257 A053258
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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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