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 A138910 Inverse binomial transform of A138909. 1
 1, 1, 3, 20, 129, 1164, 12265, 151458, 2136337, 33901640, 597761361, 11593851510, 245310524041, 5622982528188, 138803996674057, 3671135646515834, 103568483199034785, 3104443346427521808, 98528857134710517793 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..18. FORMULA O.g.f. satisfies: [x^n] A( x/(1+(n-1)*x) )/(1+(n-1)*x) = n! for n>=0. E.g.f. satisfies: [x^n] A(x)*exp(-(n-1)*x) = 1 for n>=0. E.g.f.: (x+1)/(exp(x)-x*exp(2*x)). - Vladimir Kruchinin, Nov 07 2016 a(n) ~ n! / LambertW(1)^(n-1). - Vaclav Kotesovec, Oct 30 2017 MATHEMATICA Range[0, 19]! CoefficientList[Series[(x + 1) / (Exp[x] - x Exp[2 x]), {x, 0, 19}], x] (* Vincenzo Librandi, Nov 07 2016 *) PROG (PARI) {a(n)=local(A=[1]); for(k=1, n, A=concat(A, 0); A[k+1]=k!-polcoeff(subst(Ser(A), x, x/(1+(k-1)*x+x*O(x^k)))/(1+(k-1)*x), k)); A[n+1]} CROSSREFS Cf. A138909. Sequence in context: A187442 A167590 A228884 * A000276 A216778 A337105 Adjacent sequences: A138907 A138908 A138909 * A138911 A138912 A138913 KEYWORD nonn AUTHOR Paul D. Hanna, Apr 05 2008 STATUS approved

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Last modified April 22 21:06 EDT 2024. Contains 371906 sequences. (Running on oeis4.)