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Search: id:A120980
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| A120980 |
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G.f. satisfies: A(x)^A(x) = 1 + x. |
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+0
1
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| 1, 1, -2, 9, -68, 740, -10554, 185906, -3891320, 94259952, -2592071760, 79748398752, -2713685928744, 101184283477680, -4102325527316184, 179674073609647080, -8454031849605513024, 425281651659459346944, -22777115050468598701248
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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E.g.f.: A(x) = -LambertW(log(1+x))/log(1+x); log(A(x)) = -LambertW(log(1+x)). E.g.f.: A(x) = 1/G(-x) where G(x) = g.f. of A052813. E.g.f. of A052807 = log(A(-x)) = -log(1-x)*A(-x).
a(n) = Sum_{k=0..n} (-1)^(k+1)*Stirling1(n,k)*(k-1)^(k-1). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Jul 22 2006
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PROGRAM
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(PARI) {a(n)=local(A=[1, 1]); for(i=1, n, A=concat(A, 0); A[ #A]=-Vec(Ser(A)^Ser(A))[ #A]); n!*A[n+1]}
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CROSSREFS
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Cf. A052813, A052807.
Adjacent sequences: A120977 A120978 A120979 this_sequence A120981 A120982 A120983
Sequence in context: A038037 A138212 A134261 this_sequence A020563 A006849 A121417
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KEYWORD
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sign
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Jul 20 2006
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