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 A368289 #7 Dec 20 2023 08:06:54
%S A368289 1,-1,1,0,-4,22,-98,508,-2952,21040,-169360,1579168,-16208784,
%T A368289 185045936,-2290934384,30842081632,-445643595776,6905128910976,
%U A368289 -113892295743104,1995421707848192,-36964967819409152,722345322667829760,-14842592110869541888
%N A368289 Expansion of e.g.f. exp(-2*x) / (1 - log(1 + x)).
%F A368289 a(n) = (-2)^n + Sum_{k=1..n} (-1)^(k-1) * (k-1)! * binomial(n,k) * a(n-k).
%o A368289 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-2)^i+sum(j=1, i, (-1)^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A368289 Cf. A006252, A291981, A330150, A368288.
%K A368289 sign
%O A368289 0,5
%A A368289 _Seiichi Manyama_, Dec 19 2023