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 A368288 #8 Dec 20 2023 08:06:57
%S A368288 1,3,9,28,92,326,1262,5412,25720,136208,792432,5105376,35369072,
%T A368288 271130224,2163931408,19516167712,172444938240,1853022376064,
%U A368288 16940180000128,231342744007680,1864622339520768,39188769208491520,160619617213475840,9585537940543741952,-35595308731629374464
%N A368288 Expansion of e.g.f. exp(2*x) / (1 - log(1+x)).
%F A368288 a(n) = 2^n + Sum_{k=1..n} (-1)^(k-1) * (k-1)! * binomial(n,k) * a(n-k).
%o A368288 (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 A368288 Cf. A006252, A291981, A330150, A368289.
%K A368288 sign
%O A368288 0,2
%A A368288 _Seiichi Manyama_, Dec 19 2023