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 A368269 #9 Dec 19 2023 09:16:44 %S A368269 1,0,8,46,584,8138,139252,2770206,63009648,1612255186,45837395564, %T A368269 1433503025414,48906419204392,1807570412699322,71946432680652324, %U A368269 3068220235065662062,139570141248903198944,6745706553985526731682,345212056986241161670876 %N A368269 Expansion of e.g.f. exp(-2*x) / (1 - 2*x*exp(x)). %F A368269 a(n) = n! * Sum_{k=0..n} 2^(n-k) * (n-k-2)^k / k!. %o A368269 (PARI) a(n) = n!*sum(k=0, n, 2^(n-k)*(n-k-2)^k/k!); %Y A368269 Cf. A351762, A368236, A368267, A368268. %K A368269 nonn,easy %O A368269 0,3 %A A368269 _Seiichi Manyama_, Dec 19 2023