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 A355082 #10 Jun 18 2022 14:00:28
%S A355082 1,1,5,89,5949,1546225,1591006901,6526287232201,106972340665773165,
%T A355082 7011394913950382306529,1838058207026378316690626149,
%U A355082 1927362102757461997768349891040825,8083963777926072174628168609626454270621
%N A355082 G.f. A(x) satisfies A(x) = 1 + x * A(4 * x / (1 - x)) / (1 - x).
%F A355082 a(0) = 1; a(n) = Sum_{k=0..n-1} 4^k * binomial(n-1,k) * a(k).
%o A355082 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, 4^j*binomial(i-1, j)*v[j+1])); v;
%Y A355082 Column k=4 of A306245.
%Y A355082 Cf. A000110, A126443, A355081.
%K A355082 nonn
%O A355082 0,3
%A A355082 _Seiichi Manyama_, Jun 18 2022