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 A368284 #8 Dec 20 2023 08:03:23 %S A368284 1,-1,3,0,32,182,1882,20500,260136,3701968,58565360,1019110848, %T A368284 19346296752,397867297136,8811800026928,209100451072672, %U A368284 5292665533921024,142338738348972672,4053176346277660288,121828547313861426176,3854597854165079424768 %N A368284 Expansion of e.g.f. exp(-2*x) / (1 + log(1 - x)). %F A368284 a(n) = (-2)^n + Sum_{k=1..n} (k-1)! * binomial(n,k) * a(n-k). %o A368284 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-2)^i+sum(j=1, i, (j-1)!*binomial(i, j)*v[i-j+1])); v; %Y A368284 Cf. A007840, A291979, A330149, A368283. %K A368284 sign %O A368284 0,3 %A A368284 _Seiichi Manyama_, Dec 19 2023