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A351508
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a(n) = [x^n] Product_{k=1..n} 1/(1 - k*x)^n.
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2
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1, 1, 23, 1386, 162154, 31354800, 9078595483, 3682549444112, 1994756395887972, 1391788744738729470, 1216130179327397765925, 1301126343608005909401330, 1673298722590019165433540916, 2547164111922284803722749855516
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) ~ exp(n + 5/3) * n^(2*n - 1/2) / (sqrt(Pi) * 2^(n + 1/2)). - Vaclav Kotesovec, Feb 18 2022
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MATHEMATICA
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Table[SeriesCoefficient[Product[1/(1 - k*x)^n, {k, 1, n}], {x, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, Feb 18 2022 *)
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PROG
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(PARI) a(n) = polcoef(1/prod(k=1, n, 1-k*x+x*O(x^n))^n, 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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