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Search: id:A053278
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| A053278 |
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A '7th order' mock theta functions |
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+0
6
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| 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 11, 11, 13, 13, 14, 15, 16, 17, 19, 19, 21, 22, 24, 25, 28, 29, 31, 32, 35, 36, 40, 41, 44, 46, 49, 51, 56, 58, 62, 65, 69, 72, 77, 80, 86, 90, 95, 99, 106, 110, 117, 122, 130, 135, 144, 149, 158
(list; graph; listen)
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OFFSET
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0,7
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REFERENCES
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Dean Hickerson, On the seventh order mock theta functions, Inventiones Mathematicae, 94 (1988) 661-677
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FORMULA
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G.f.: g(q, q^7), where g(x, q) = sum for n >= 1 of q^(n(n-1))/((1-x)(1-q/x)(1-q x)(1-q^2/x)...(1-q^(n-1) x)(1-q^n/x))
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MATHEMATICA
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Series[Sum[q^(7n(n-1))/Product[1-q^Abs[7k+1], {k, -n, n-1}], {n, 1, 4}], {q, 0, 100}]
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CROSSREFS
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Other '7th order' mock theta functions are at A053275, A053276, A053277, A053279, A053280.
Sequence in context: A072114 A090621 A029378 this_sequence A035466 A122521 A086394
Adjacent sequences: A053275 A053276 A053277 this_sequence A053279 A053280 A053281
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KEYWORD
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nonn,easy
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AUTHOR
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Dean Hickerson (dean(AT)math.ucdavis.edu), Dec 19 1999
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