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A135750
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E.g.f. A(x) satisfies: A(1 - exp(-x)) = 1 + x*A(x).
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0
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1, 1, 3, 17, 150, 1869, 30937, 652147, 16971392, 532403448, 19756591654, 854013305595, 42459118750496, 2401987801594055, 153207626004501247, 10930853009024058261, 866325783375527683256, 75806831093269510084028
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| E.g.f. A(x) satisfies: A(x) = 1 - log(1-x)*A(-log(1-x)).
a(n)=sum(k=1..n, k*(-1)^(n-k)*stirling1(n,k)*a(k-1)), n>0, a(0)=1. [From Vladimir Kruchinin, Nov 28 2011]
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PROG
| (PARI) {a(n)=local(A=1+x); for(i=0, n, A=1-log(1-x+x*O(x^n))* (subst(A, x, -log(1-x+x*O(x^n))))); n!*polcoeff(A, n)}
(Maxima)
a(n):=if n=0 then 1 else sum(k*(-1)^(n-k)*stirling1(n, k)*a(k-1), k, 1, n); [From Vladimir Kruchinin, Nov 28 2011]
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CROSSREFS
| Sequence in context: A052807 A080253 A009813 * A182957 A007767 A075820
Adjacent sequences: A135747 A135748 A135749 * A135751 A135752 A135753
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KEYWORD
| nonn
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Nov 27 2007
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