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 A368450 #10 Dec 25 2023 10:01:04 %S A368450 1,2,8,61,695,10310,187024,4002131,98593949,2746565218,85333213856, %T A368450 2924626915529,109588276298995,4456269669580742,195418762093000328, %U A368450 9192090435429906463,461630086359185798777,24651183861530752336994,1394716088179233110318104 %N A368450 Expansion of e.g.f. exp(x) / (1 + log(1 - 3*x)/3). %F A368450 a(n) = 1 + Sum_{k=1..n} 3^(k-1) * (k-1)! * binomial(n,k) * a(n-k). %o A368450 (PARI) a_vector(n) = my(v=vector(n+1)); for(i=0, n, v[i+1]=1+sum(j=1, i, 3^(j-1)*(j-1)!*binomial(i, j)*v[i-j+1])); v; %Y A368450 Cf. A291979, A368449. %Y A368450 Cf. A368453. %K A368450 nonn %O A368450 0,2 %A A368450 _Seiichi Manyama_, Dec 24 2023