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 A367846 #7 Dec 02 2023 13:18:23 %S A367846 1,4,41,654,14028,377112,12177126,458916588,19769059944,958125646080, %T A367846 51597765220608,3056601306206016,197532472461453072, %U A367846 13829353660386169344,1042679226974498229456,84229294995413626072608,7257792124889497549663488 %N A367846 Expansion of e.g.f. 1/(1 - x + log(1 - 3*x)). %F A367846 a(0) = 1; a(n) = n * a(n-1) + Sum_{k=1..n} 3^k * (k-1)! * binomial(n,k) * a(n-k). %o A367846 (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, 3^j*(j-1)!*binomial(i, j)*v[i-j+1])); v; %Y A367846 Cf. A052820, A367845, A367847. %Y A367846 Cf. A367836. %K A367846 nonn %O A367846 0,2 %A A367846 _Seiichi Manyama_, Dec 02 2023