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A373870
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a(n) = Sum_{k=1..n} k! * k^(n-3) * |Stirling1(n,k)|.
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4
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0, 1, 2, 14, 254, 9154, 552034, 50183832, 6417140232, 1098719459424, 242758470248976, 67260880064331216, 22840933997866565184, 9330599517868641290160, 4514326567036815466609008, 2553018492454631240215801344, 1668797317379516060093446975104
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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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E.g.f.: Sum_{k>=1} (-log(1 - k*x))^k / k^3.
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PROG
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(PARI) a(n) = sum(k=1, n, k!*k^(n-3)*abs(stirling(n, k, 1)));
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CROSSREFS
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KEYWORD
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nonn,new
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AUTHOR
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STATUS
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approved
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