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A024188
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a(n) = ((n+2)!/2)(1/3 - 1/4 + ... + c/(n+2)), where c = (-1)^(n+1).
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3
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1, 1, 17, 42, 654, 2712, 44568, 264240, 4721040, 36694080, 716523840, 6917823360, 147356496000, 1703866752000, 39427129728000, 531844621056000, 13306234652928000, 205302142854144000, 5527796004025344000, 96066041002702848000, 2771519306950969344000
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OFFSET
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1,3
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LINKS
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FORMULA
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a(n) ~ sqrt(Pi/2) * (log(2) - 1/2) * n^(n + 5/2) / exp(n). - Vaclav Kotesovec, Jan 02 2020
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MATHEMATICA
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Table[(n+2)!/2 * Sum[(-1)^(k+1)/k, {k, 3, n+2}], {n, 1, 25}] (* Vaclav Kotesovec, Jan 02 2020 *)
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PROG
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(PARI) a(n) = (n+2)!*sum(x=1, n, (-1)^(x+1)/(x+2))/2 \\Michel Marcus, Mar 21 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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