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 A367851 #11 Dec 03 2023 01:43:44
%S A367851 1,2,10,80,872,11984,198416,3840192,85031040,2119385856,58714881792,
%T A367851 1789646610432,59515302478848,2144299161348096,83204666280609792,
%U A367851 3459286210445942784,153413140701637804032,7228914528043587796992,360670654712328998289408
%N A367851 Expansion of e.g.f. 1/(1 - x + log(1 - 2*x)/2).
%F A367851 a(0) = 1; a(n) = n * a(n-1) + Sum_{k=1..n} 2^(k-1) * (k-1)! * binomial(n,k) * a(n-k).
%o A367851 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*v[i]+sum(j=1, i, 2^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A367851 Cf. A052820, A367852, A367853.
%Y A367851 Cf. A227917, A355110, A367845.
%K A367851 nonn
%O A367851 0,2
%A A367851 _Seiichi Manyama_, Dec 02 2023