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 A182314 #7 Apr 24 2012 12:15:58
%S A182314 1,1,2,13,174,4232,182382,14175046,2045373678,562261694364,
%T A182314 299983681820740,314433086095052371,652379184283729238186,
%U A182314 2691298717301069744228618,22133007749002207321732828222,363389633981231330655355989037627,11920985732676951145747564507103687806
%N A182314 G.f. satisfies: A(x) = 1 + x*A(A(x)^2 - 1).
%e A182314 G.f.: A(x) = 1 + x + 2*x^2 + 13*x^3 + 174*x^4 + 4232*x^5 + 182382*x^6 +...
%e A182314 Related expansions:
%e A182314 A(x)^2 = 1 + 2*x + 5*x^2 + 30*x^3 + 378*x^4 + 8864*x^5 + 374093*x^6 +...
%e A182314 A(A(x)^2 - 1) = 1 + 2*x + 13*x^2 + 174*x^3 + 4232*x^4 + 182382*x^5 +...
%o A182314 (PARI) {a(n)=local(A=1+x+x*O(x^n));for(i=1,n,A=1+x*subst(A,x,A^2-1+x*O(x^n)));polcoeff(A,n)}
%o A182314 for(n=0,25,print1(a(n),", "))
%Y A182314 Cf. A182224, A120970.
%K A182314 nonn
%O A182314 0,3
%A A182314 _Paul D. Hanna_, Apr 24 2012