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 A162633 E.g.f. satisfies: A(x) = exp( x*A(x+x^2) ). 1
 1, 1, 3, 22, 245, 4056, 89887, 2564794, 91107417, 3927302920, 201515838011, 12117018752334, 842801806725397, 67076226899414500, 6051672367977392535, 613945094407473751906, 69541717694720436605873 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Vaclav Kotesovec, Table of n, a(n) for n = 0..280 EXAMPLE E.g.f.: A(x) = 1 + x + 3*x^2/2! + 22*x^3/3! + 245*x^4/4! + 4056*x^5/5! +... A(x+x^2) = 1 + x + 5*x^2/2! + 40*x^3/3! + 545*x^4/4! + 10276*x^5/5! +... where log(A(x)) = x*A(x+x^2). PROG (PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(x*subst(A, x, x+x^2+x*O(x^n)))); n!*polcoeff(A, n)} CROSSREFS Sequence in context: A141006 A042703 A141356 * A052677 A136741 A132693 Adjacent sequences:  A162630 A162631 A162632 * A162634 A162635 A162636 KEYWORD nonn AUTHOR Paul D. Hanna, Jul 07 2009 STATUS approved

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Last modified December 5 20:40 EST 2019. Contains 329777 sequences. (Running on oeis4.)