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A294319
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a(n) = Product_{k=0..n} (3*k + 2)!.
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5
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OFFSET
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0,1
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LINKS
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FORMULA
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a(n) ~ 3^(3*n^2/2 + 4*n + 101/36) * (2*Pi)^(n/2 + 1/3) * n^(3*n^2/2 + 4*n + 91/36) * Gamma(1/3)^(1/3) / (A^(1/3) * exp(9*n^2/4 + 4*n - 1/36)), where A is the Glaisher-Kinkelin constant A074962.
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MATHEMATICA
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Table[Product[(3*k + 2)!, {k, 0, n}] , {n, 0, 10}]
FoldList[Times, (3 Range[0, 10]+2)!] (* Harvey P. Dale, Sep 26 2023 *)
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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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