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 A357029 E.g.f. satisfies A(x) = 1/(1 - x * A(x))^(log(1 - x * A(x))^2). 4
 1, 0, 0, 6, 36, 210, 3870, 70224, 1122072, 23086344, 586910880, 15469437456, 441107126856, 14206113541152, 496333927370736, 18463733657766144, 739328759822848320, 31759148433997889280, 1447876893211813379520, 69881726567495477445120 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA E.g.f. satisfies log(A(x)) = -log(1 - x * A(x))^3. a(n) = Sum_{k=0..floor(n/3)} (3*k)! * (n+1)^(k-1) * |Stirling1(n,3*k)|/k!. MATHEMATICA m = 20; (* number of terms *) A[_] = 0; Do[A[x_] = 1/(1 - x*A[x])^(Log[1 - x*A[x]]^2) + O[x]^m // Normal, {m}]; CoefficientList[A[x], x]*Range[0, m - 1]! (* Jean-François Alcover, Sep 12 2022 *) PROG (PARI) a(n) = sum(k=0, n\3, (3*k)!*(n+1)^(k-1)*abs(stirling(n, 3*k, 1))/k!); CROSSREFS Cf. A001761, A357028. Cf. A353344, A357037. Sequence in context: A353118 A357027 A357093 * A358859 A357091 A268454 Adjacent sequences: A357026 A357027 A357028 * A357030 A357031 A357032 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 09 2022 STATUS approved

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Last modified March 20 22:57 EDT 2023. Contains 361392 sequences. (Running on oeis4.)