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A360193
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a(n) = Sum_{k=0..n} (k-1)^(k-1) * binomial(n,k).
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6
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-1, 0, 2, 9, 52, 445, 5166, 75019, 1300776, 26167257, 598577770, 15337224991, 435020120316, 13529095809541, 457727913937854, 16736043791509995, 657590281425958096, 27631245762003186865, 1236355641557737359570, 58689534518861119967287
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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.: -exp(x + LambertW(-x)).
E.g.f.: x * exp(x) / LambertW(-x).
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PROG
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(PARI) a(n) = sum(k=0, n, (k-1)^(k-1)*binomial(n, k));
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(-exp(x+lambertw(-x))))
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(x*exp(x)/lambertw(-x)))
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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