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A352376
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Expansion of e.g.f. exp(1 - (1 + x) * exp(x)).
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1
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1, -2, 1, 6, -2, -58, -91, 732, 4365, -1468, -140682, -685886, 1791101, 43923266, 216543097, -939472974, -22047365454, -127801626362, 541608607233, 16524264652568, 124850392700061, -279906371211584, -16968403342944782, -176737444660619046
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OFFSET
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0,2
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LINKS
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FORMULA
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a(0) = 1; a(n) = -Sum_{k=1..n} (k+1) * binomial(n-1,k-1) * a(n-k).
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PROG
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(PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(1-(1+x)*exp(x))))
(PARI) a(n) = if(n==0, 1, -sum(k=1, n, (k+1)*binomial(n-1, k-1)*a(n-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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