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 A191814 #7 Apr 19 2025 19:35:07
%S A191814 1,1,1,1,2,18,154,970,4862,20879,83672,353281,1773612,11060634,
%T A191814 84779040,772415014,7726721969,77774342729,747754441850,6734769291340,
%U A191814 56695273838174,448350981091266,3357088027977272,24017325363442968
%N A191814 G.f. satisfies: A(x) = Sum_{n>=0} x^(n^2)*A(x)^(n^4).
%e A191814 G.f.: A(x) = 1 + x + x^2 + x^3 + 2*x^4 + 18*x^5 + 154*x^6 + 970*x^7 +...
%e A191814 where the g.f. satisfies:
%e A191814 A(x) = 1 + x*A(x) + x^4*A(x)^16 + x^9*A(x)^81 + x^16*A(x)^256 + x^25*A(x)^625 + x^36*A(x)^1296 +...+ x^(n^2)*A(x)^(n^4) +...
%o A191814 (PARI) {a(n)=local(A=1+x);for(i=1,n,A=1+sum(m=1,n,x^(m^2)*(A+x*O(x^n))^(m^4)));polcoeff(A,n)}
%Y A191814 Cf. A157134, A157136, A191813.
%K A191814 nonn
%O A191814 0,5
%A A191814 _Paul D. Hanna_, Jun 17 2011