This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A202630 #9 Sep 27 2024 20:55:03 %S A202630 1,4,62,7646,11346032,173032723944,25223251091617644, %T A202630 34295314615208803660344,429734276354140075492905291038, %U A202630 49292144933883713910495181570024546094,51546480948489890934875222750204184228031911158 %N A202630 G.f.: exp( Sum_{n>=1} (3^n + A(x))^n * x^n/n ). %e A202630 G.f.: A(x) = 1 + 4*x + 62*x^2 + 7646*x^3 + 11346032*x^4 + 173032723944*x^5 +... %e A202630 where %e A202630 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 +... %o A202630 (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)} %Y A202630 Cf. A202629, A202519, A155203. %K A202630 nonn %O A202630 0,2 %A A202630 _Paul D. Hanna_, Dec 21 2011