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A051104
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Denominator of a certain Selberg integral.
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1
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12, 75, 147000, 165375, 800415, 2840672835, 9909900, 46539367875, 218409253437375, 7392313193265, 32318460158985, 127542494555994375, 293662931252315625, 35281503597599634375, 64581952299606187875, 28179258520061499976125, 3412712969557621104375
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OFFSET
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1,1
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REFERENCES
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Donald St. P. Richards, Analogs and extensions of Selberg's integrals, pp. 108-137 of D. Stanton, Ed., "q-Series and Partitions", Springer, 1989, see esp. p. 125.
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LINKS
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EXAMPLE
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1/12, 2/75, 2243/147000, 1954/165375, 8798/800415, ...
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MATHEMATICA
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a[n_] := Denominator[2^n*3/((n + 1)^2*(2*n + 1)*(4*n + 3)) * HypergeometricPFQ[{-n, 1, 1}, {n + 2, 1/2 - n}, 1/4]]; Array[a, 20] (* Amiram Eldar, Jul 05 2021 *)
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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EXTENSIONS
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a(3) corrected and more terms added by Amiram Eldar, Jul 05 2021
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STATUS
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approved
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