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 A368452 #9 Dec 25 2023 10:00:51
%S A368452 1,0,4,29,351,5288,96844,2084787,51569293,1440778760,44860522140,
%T A368452 1540040695961,57780774428299,2351977512750864,103224895866407236,
%U A368452 4858737892917301679,244142543354321358297,13043294582176082455088,738250195765281754969108
%N A368452 Expansion of e.g.f. exp(-x) / (1 + log(1 - 3*x)/3).
%F A368452 a(n) = (-1)^n + Sum_{k=1..n} 3^(k-1) * (k-1)! * binomial(n,k) * a(n-k).
%o A368452 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+sum(j=1, i, 3^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A368452 Cf. A330149, A368451.
%K A368452 nonn
%O A368452 0,3
%A A368452 _Seiichi Manyama_, Dec 24 2023