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A255433
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a(n) = Product_{k=0..n} (k^3+1).
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10
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1, 2, 18, 504, 32760, 4127760, 895723920, 308129028480, 158070191610240, 115391239875475200, 115506631115350675200, 153854832645647099366400, 266015005644323834804505600, 584700982406223788900303308800, 1605004196705084300531332582656000
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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) ~ 2*sqrt(2*Pi) * cosh(sqrt(3)*Pi/2) * n^(3*n + 3/2) / exp(3*n).
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MATHEMATICA
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Table[Product[k^3 + 1, {k, 0, n}], {n, 0, 20}]
FullSimplify[Table[(Cosh[Sqrt[3]*Pi/2] * Gamma[2+n] * Gamma[1/2 - I*Sqrt[3]/2 + n] * Gamma[1/2 + I*Sqrt[3]/2 + n])/Pi, {n, 0, 20}]]
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PROG
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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