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 A367847 #7 Dec 02 2023 13:18:13
%S A367847 1,5,66,1358,37592,1304536,54384080,2646247152,147186205056,
%T A367847 9210766696320,640472632680192,48989958019395840,4087959251421060096,
%U A367847 369547591764702870528,35976590549993421907968,3752609987262290143082496,417518648351593243448279040
%N A367847 Expansion of e.g.f. 1/(1 - x + log(1 - 4*x)).
%F A367847 a(0) = 1; a(n) = n * a(n-1) + Sum_{k=1..n} 4^k * (k-1)! * binomial(n,k) * a(n-k).
%o A367847 (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, 4^j*(j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A367847 Cf. A052820, A367845, A367846.
%Y A367847 Cf. A367837.
%K A367847 nonn
%O A367847 0,2
%A A367847 _Seiichi Manyama_, Dec 02 2023