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A256194
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a(n) = denominator of n!*n^n*Product_{k=0..n} 1/(n*k + n - 1).
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0
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15, 440, 21945, 277704, 178986115, 215289360, 107174712645, 2019114114160, 5162399729063577, 310327149656160, 264020420256172514935, 555320997799108800, 183986274976015448239875, 7616449380979972355121376, 132186242095677958872242925, 3493664585524176681103200
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OFFSET
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2,1
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COMMENTS
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n!*n^n*Product_{k=0..n} 1/(n*k + n - 1) = Sum_{k=0..n} (-1)^k*binomial(n,k)/(n*k + n - 1) (see arXiv link).
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LINKS
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MATHEMATICA
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Table[Denominator[n! n^n Product[1/(n k + n - 1), {k, 0, n}]], {n, 2, 17}] (* Jean-François Alcover, Sep 26 2018 *)
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PROG
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(PARI) a(n) = denominator(sum(k=0, n, (-1)^k*binomial(n, k)/(n*k+n-1)));
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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