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 A368286 #8 Dec 20 2023 12:37:18
%S A368286 1,1,7,51,521,6617,100903,1795091,36497601,834825089,21217022903,
%T A368286 593152248323,18089914384425,597680325734905,21266014041519799,
%U A368286 810711731123810051,32966705053762073665,1424339658492670445121,65159114638457033834791
%N A368286 Expansion of e.g.f. exp(-x) / (1 + 2*log(1 - x)).
%F A368286 a(n) = (-1)^n + 2 * Sum_{k=1..n} (k-1)! * binomial(n,k) * a(n-k).
%o A368286 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-1)^i+2*sum(j=1, i, (j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A368286 Cf. A088500, A343707, A368285, A368287.
%K A368286 nonn
%O A368286 0,3
%A A368286 _Seiichi Manyama_, Dec 19 2023