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 A368287 #7 Dec 20 2023 12:37:13 %S A368287 1,0,6,32,356,4456,68096,1211136,24625408,563266240,14315378880, %T A368287 400206928128,12205482237824,403262088466688,14348434923733504, %U A368287 546996936260529152,22243031618999642112,961019064912965103616,43963636798214215278592 %N A368287 Expansion of e.g.f. exp(-2*x) / (1 + 2*log(1 - x)). %F A368287 a(n) = (-2)^n + 2 * Sum_{k=1..n} (k-1)! * binomial(n,k) * a(n-k). %o A368287 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=(-2)^i+2*sum(j=1, i, (j-1)!*binomial(i, j)*v[i-j+1])); v; %Y A368287 Cf. A088500, A343707, A368285, A368286. %K A368287 nonn %O A368287 0,3 %A A368287 _Seiichi Manyama_, Dec 19 2023