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 A367829 #12 Dec 02 2023 13:14:22
%S A367829 1,2,17,530,60332,24882484,36501847110,186651759218364,
%T A367829 3267898148335418280,193010228785740170125728,
%U A367829 37993098362777240856612204096,24678625994736515097158433120107040,52461378922253347510159057679901573120528
%N A367829 E.g.f. A(x) satisfies A(x) = (1 - log(1 - x) * A(3*x)) / (1 - x).
%F A367829 a(0) = 1; a(n) = n * a(n-1) + Sum_{k=1..n} 3^(n-k) * (k-1)! * binomial(n,k) * a(n-k).
%o A367829 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*v[i]+sum(j=1, i, 3^(i-j)*(j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A367829 Cf. A052820, A367828.
%Y A367829 Cf. A355087, A367831, A367846.
%K A367829 nonn
%O A367829 0,2
%A A367829 _Seiichi Manyama_, Dec 02 2023