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Search: id:A053279
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| A053279 |
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A '7th order' mock theta functions |
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+0
6
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| 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 3, 2, 3, 2, 3, 3, 4, 3, 4, 4, 5, 5, 6, 5, 7, 6, 8, 7, 9, 8, 10, 10, 11, 11, 13, 12, 15, 14, 17, 16, 19, 18, 21, 21, 23, 23, 27, 26, 30, 29, 33, 33, 37, 36, 41, 41, 46, 46, 51, 51, 56, 57, 62, 63, 69, 69, 77, 77, 84, 85, 93, 94, 102, 104, 112
(list; graph; listen)
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OFFSET
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0,11
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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^2, 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+2], {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, A053278, A053280.
Sequence in context: A093873 A161148 A143773 this_sequence A046800 A027350 A029327
Adjacent sequences: A053276 A053277 A053278 this_sequence A053280 A053281 A053282
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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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