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 A385834 #8 Jul 10 2025 11:00:50
%S A385834 1,1,3,200,146401,600098283,9378336443140,437583801957155730,
%T A385834 51482609496251191260549,13496011632930307406903060651,
%U A385834 7172374406405634119759727327588155,7172395923569361382696722735713532276498,12706358411963754476880803069979932030145242780
%N A385834 a(0) = 1; a(n) = Sum_{k=0..n-1} (1 + k^6) * a(k) * a(n-1-k).
%F A385834 G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x) - x*Sum_{k=1..6} Stirling2(6,k) * x^k * (d^k/dx^k A(x)) ).
%o A385834 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=sum(j=0, i-1, (1+j^6)*v[j+1]*v[i-j])); v;
%Y A385834 Cf. A088716, A385830, A385831, A385832, A385833.
%K A385834 nonn
%O A385834 0,3
%A A385834 _Seiichi Manyama_, Jul 09 2025