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 A209519 Expansion A(x) = Sum_{n>0} a(n)*x^n/(3^(n-1)*n!), A(x) satisfies A(A(A(x)))=e^x-1. 4
 1, 1, 0, 0, 2, -21, 138, 150, -22833, 303975, 3451320, -214016553, 666006714, 228865308144, -4943013567642, -396567325158381, 21423378444873687, 1022158819761317838, -121532275123709160942 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..200 FORMULA a(n)=3^(n-1)*n!*T(n,1), T(n,m)=1/3*(stirling2(n,m)*m!/n!-sum(k=m+1..n-1, T(k,m)*sum(i=k..n, T(n,i)*T(i,k)))-T(m,m)*sum(i=m+1..n-1, T(n,i)*T(i,m))), n>m, T(n,n)=1. PROG (Maxima) T(n, m):=if n=m then 1 else 1/3*(stirling2(n, m)*m!/n!-sum(T(k, m)*sum(T(n, i)*T(i, k), i, k, n), k, m+1, n-1)-T(m, m)*sum(T(n, i)*T(i, m), i, m+1, n-1)); makelist(n!*3^(n-1)*(T(n, 1)), n, 1, 7); CROSSREFS Cf. A184011. Sequence in context: A171009 A098661 A095262 * A215710 A112673 A263435 Adjacent sequences: A209516 A209517 A209518 * A209520 A209521 A209522 KEYWORD sign AUTHOR Vladimir Kruchinin, Mar 10 2012 STATUS approved

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Last modified August 2 19:53 EDT 2024. Contains 374875 sequences. (Running on oeis4.)