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 A354728 E.g.f. A(x) satisfies A(x) = 1 + log(1+x) * A(log(1+x)). 6
 1, 1, 1, -1, -6, 39, 97, -4481, 33912, 676236, -26413226, 238849819, 14313503696, -755420105545, 10108190752293, 933595772081187, -74703766573019512, 1828010869875477868, 148132864489851652128, -19789393233722946227592, 910780967051245532791008 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Table of n, a(n) for n=0..20. FORMULA E.g.f. A(x) satisfies: A(exp(x) - 1) = 1 + x*A(x). a(0) = 1; a(n) = Sum_{k=1..n} k * Stirling1(n,k) * a(k-1). PROG (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=1, i, j*stirling(i, j, 1)*v[j])); v; CROSSREFS Cf. A135750, A213357, A354729. Sequence in context: A058985 A116951 A163737 * A220855 A351047 A289162 Adjacent sequences: A354725 A354726 A354727 * A354729 A354730 A354731 KEYWORD sign AUTHOR Seiichi Manyama, Jun 04 2022 STATUS approved

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Last modified August 8 16:21 EDT 2024. Contains 375023 sequences. (Running on oeis4.)