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Search: id:A053280
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| A053280 |
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A '7th order' mock theta functions |
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+0
16
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| 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 3, 2, 3, 3, 3, 3, 5, 4, 4, 5, 6, 5, 6, 6, 7, 7, 8, 8, 10, 9, 10, 11, 12, 11, 14, 13, 15, 16, 17, 17, 20, 19, 21, 22, 24, 24, 27, 27, 30, 31, 33, 34, 38, 37, 41, 43, 46, 46, 51, 52, 56, 58, 62, 63, 69, 70, 75, 78, 83, 85, 92, 94
(list; graph; listen)
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OFFSET
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0,13
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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^3, 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+3], {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, A053279.
Sequence in context: A008615 A103221 A026806 this_sequence A025832 A112222 A112220
Adjacent sequences: A053277 A053278 A053279 this_sequence A053281 A053282 A053283
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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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