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A240993
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A000142 (n+1) * A002109(n), a product of factorials and hyperfactorials.
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5
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1, 2, 24, 2592, 3317760, 62208000000, 20316635136000000, 133852981198454784000000, 20211123400293732996612096000000, 78302033109811407811828935756349440000000, 8613223642079254859301182933198438400000000000000000
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OFFSET
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0,2
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COMMENTS
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row products of the triangle A245334.
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LINKS
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FORMULA
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a(n) ~ A * sqrt(2*Pi) * n^(n^2/2+3*n/2+19/12) / exp(n*(n+4)/4), where A = 1.2824271291... is the Glaisher-Kinkelin constant (see A074962). - Vaclav Kotesovec, Nov 14 2014
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MATHEMATICA
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Table[(n+1)*(n!)^(n+1)/BarnesG[n+1], {n, 0, 10}] (* Vaclav Kotesovec, Nov 14 2014 *)
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PROG
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(Haskell)
a240993 n = a000142 (n + 1) * a002109 n
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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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