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A351334
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a(n) = Sum_{k=0..n} k! * (-k)^k * Stirling2(n,k).
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1
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1, -1, 7, -139, 5227, -317491, 28352347, -3495615859, 568791063547, -118065959980051, 30445266606199387, -9547490385298102579, 3578014749635903623867, -1579193384981544127824211, 810752966831581612807206427, -479049438742420410992820125299
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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 * (1 - exp(x)))^k.
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PROG
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(PARI) a(n) = sum(k=0, n, k!*(-k)^k*stirling(n, k, 2));
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (k*(1-exp(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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