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A294318
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a(n) = Product_{k=0..n} (3*k + 1)!.
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4
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1, 24, 120960, 438939648000, 2733286318040678400000, 57187975336110258000180019200000000, 6956637001938940278070327452315517609574400000000000, 7819265053064003641840525064819521833578308036969094971392000000000000000
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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) ~ 3^(3*n^2/2 + 3*n + 47/36) * n^(3*n^2/2 + 3*n + 49/36) * (2*Pi)^(n/2 + 5/6) / (A^(1/3) * Gamma(1/3)^(2/3) * exp(9*n^2/4 + 3*n - 1/36)), where A is the Glaisher-Kinkelin constant A074962.
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MATHEMATICA
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Table[Product[(3*k + 1)!, {k, 0, n}] , {n, 0, 10}]
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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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