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 A191813 #8 Apr 19 2025 19:35:11
%S A191813 1,1,1,1,2,10,46,166,504,1425,4256,14594,55783,220903,873199,3436817,
%T A191813 13569556,53929244,215352055,861477251,3446980935,13792641374,
%U A191813 55203566064,221112089602,887538377345,3580304912835,14573568107348
%N A191813 G.f. satisfies: A(x) = Sum_{n>=0} x^(n^2)*A(x)^(n^3).
%e A191813 G.f.: A(x) = 1 + x + x^2 + x^3 + 2*x^4 + 10*x^5 + 46*x^6 + 166*x^7 +...
%e A191813 where the g.f. satisfies:
%e A191813 A(x) = 1 + x*A(x) + x^4*A(x)^8 + x^9*A(x)^27 + x^16*A(x)^64 + x^25*A(x)^125 + x^36*A(x)^216 +...+ x^(n^2)*A(x)^(n^3) +...
%o A191813 (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^3)));polcoeff(A,n)}
%Y A191813 Cf. A157134, A157136, A191814.
%K A191813 nonn
%O A191813 0,5
%A A191813 _Paul D. Hanna_, Jun 17 2011