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 A230317 E.g.f. satisfies: A(x) = Sum_{n>=0} x^n/n! * Product_{k=1..n} A(k*x). 4
 1, 1, 3, 19, 215, 4016, 119092, 5503205, 393154477, 43298176708, 7340865004766, 1913028475033699, 764596866776205619, 467416620805272150858, 435773832975324764799712, 617753035395626539657324801, 1327738980050724547857227605753, 4314831625390935798178255342966024 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..76 EXAMPLE G.f.: A(x) = 1 + x + 3*x^2/2! + 19*x^3/3! + 215*x^4/4! + 4016*x^5/5! +... where A(x) = 1 + x*A(x) + x^2*A(x)*A(2*x)/2! + x^3*A(x)*A(2*x)*A(3*x)/3! + x^4*A(x)*A(2*x)*A(3*x)*A(4*x)/4! + x^5*A(x)*A(2*x)*A(3*x)*A(4*x)*A(5*x)/5! +... PROG (PARI) {a(n)=local(A=1+x); for(i=1, n, A=1+sum(m=1, n, x^m/m!*prod(k=1, m, subst(A, x, k*x+x*O(x^n))))); n!*polcoeff(A, n)} for(n=0, 20, print1(a(n), ", ")) CROSSREFS Cf. A230321, A178087. Sequence in context: A000275 A058165 A074707 * A135749 A005647 A158876 Adjacent sequences:  A230314 A230315 A230316 * A230318 A230319 A230320 KEYWORD nonn AUTHOR Paul D. Hanna, Oct 15 2013 STATUS approved

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Last modified July 1 12:30 EDT 2022. Contains 354973 sequences. (Running on oeis4.)