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 A368449 #10 Dec 25 2023 10:01:36
%S A368449 1,2,7,42,365,4090,55699,890722,16341849,338128594,7786397471,
%T A368449 197460558394,5467207989957,164085022299146,5305738076252587,
%U A368449 183876885720455218,6798985094507177137,267160159254659407650,11116956337133269707319,488348854052875260086474
%N A368449 Expansion of e.g.f. exp(x) / (1 + log(1 - 2*x)/2).
%F A368449 a(n) = 1 + Sum_{k=1..n} 2^(k-1) * (k-1)! * binomial(n,k) * a(n-k).
%o A368449 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=1, i, 2^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A368449 Cf. A291979, A368450.
%Y A368449 Cf. A227917.
%K A368449 nonn
%O A368449 0,2
%A A368449 _Seiichi Manyama_, Dec 24 2023