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A351333
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a(n) = Sum_{k=0..n} k! * (-k)^k * Stirling1(n,k).
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2
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1, -1, 9, -188, 7210, -442534, 39778322, -4926514200, 804271290024, -167367096770256, 43244394345493968, -13583108127289832592, 5097183064576208028096, -2252211248747050526401296, 1157380447302779717382178416, -684423139836843936246492092928
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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>=0} (-k * log(1+x))^k.
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PROG
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(PARI) a(n) = sum(k=0, n, k!*(-k)^k*stirling(n, k, 1));
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (-k*log(1+x))^k)))
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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