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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

Table of n, a(n) for n=0..10.

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 January 28 06:29 EST 2020. Contains 331317 sequences. (Running on oeis4.)