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A296627
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a(n) = BarnesG(4*n).
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0
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = A^15 * exp(-5/4) * 2^(7/3 - 14*n + 16*n^2) * Pi^(3/2 - 6*n) * BarnesG(n) * BarnesG(1/4 + n)^2 * BarnesG(1/2 + n)^3 * BarnesG(3/4 + n)^4 * BarnesG(1 + n)^3 * BarnesG(5/4 + n)^2 * BarnesG(3/2 + n), where A is the Glaisher-Kinkelin constant A074962.
a(n) ~ 2^(16*n^2 - 6*n + 1/3) * n^(8*n^2 - 4*n + 5/12) * Pi^(2*n - 1/2) / (A * exp(12*n^2 - 4*n - 1/12)), where A is the Glaisher-Kinkelin constant A074962.
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MATHEMATICA
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Table[BarnesG[4*n], {n, 0, 6}]
Round[Table[Glaisher^15 * E^(-5/4) * 2^(7/3 - 14*n + 16*n^2) * Pi^(3/2 - 6*n) * BarnesG[n] * BarnesG[1/4 + n]^2 * BarnesG[1/2 + n]^3 * BarnesG[3/4 + n]^4 * BarnesG[1 + n]^3 * BarnesG[5/4 + n]^2 * BarnesG[3/2 + n], {n, 0, 6}]]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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