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A255435
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Product_{k=0..n} (k^5 + 1).
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5
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1, 2, 66, 16104, 16506600, 51599631600, 401290334953200, 6744887949893385600, 221023233230056352726400, 13051421922234827628493920000, 1305155243645404997677020493920000, 210197862299579765685879504586803840000, 52304164669591331834914454764848159918720000
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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) ~ c * n^(5*n+5/2) / exp(5*n), where c = 4 * sqrt(2) * Pi^(5/2) / abs(Gamma(3/4 + sqrt(5)/4 + i*sqrt(5/8 + sqrt(5)/8)) * Gamma(3/4 - sqrt(5)/4 + i*sqrt(5/8 - sqrt(5)/8)))^2 = 205.260576646551853296... .
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MATHEMATICA
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Table[Product[k^5 + 1, {k, 0, n}], {n, 0, 15}]
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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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