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 A202630 G.f.: exp( Sum_{n>=1} (3^n + A(x))^n * x^n/n ). 3
 1, 4, 62, 7646, 11346032, 173032723944, 25223251091617644, 34295314615208803660344, 429734276354140075492905291038, 49292144933883713910495181570024546094, 51546480948489890934875222750204184228031911158 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS EXAMPLE G.f.: A(x) = 1 + 4*x + 62*x^2 + 7646*x^3 + 11346032*x^4 + 173032723944*x^5 +... where log(A(x)) = (3 + A(x))*x + (3^2 + A(x))^2*x^2/2 + (3^3 + A(x))^3*x^3/3 + (3^4 + A(x))^4*x^4/4 +... PROG (PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(sum(m=1, n, (3^m+A+x*O(x^n))^m*x^m/m))); polcoeff(A, n)} CROSSREFS Cf. A202629, A202519, A155203. Sequence in context: A191300 A087613 A284158 * A102196 A102192 A102197 Adjacent sequences:  A202627 A202628 A202629 * A202631 A202632 A202633 KEYWORD nonn AUTHOR Paul D. Hanna, Dec 21 2011 STATUS approved

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Last modified November 26 21:07 EST 2021. Contains 349344 sequences. (Running on oeis4.)