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 A367853 #7 Dec 03 2023 01:44:08
%S A367853 1,2,12,128,1952,38464,926336,26323968,861419520,31882358784,
%T A367853 1316275003392,59954841649152,2985997926727680,161401148097036288,
%U A367853 9408988894966579200,588381964243109412864,39285329204482179858432,2789234068575581984784384
%N A367853 Expansion of e.g.f. 1/(1 - x + log(1 - 4*x)/4).
%F A367853 a(0) = 1; a(n) = n * a(n-1) + Sum_{k=1..n} 4^(k-1) * (k-1)! * binomial(n,k) * a(n-k).
%o A367853 (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-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v;
%Y A367853 Cf. A052820, A367851, A367852.
%Y A367853 Cf. A352071, A355112, A367847.
%K A367853 nonn
%O A367853 0,2
%A A367853 _Seiichi Manyama_, Dec 02 2023