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 A355107 #8 Jun 19 2022 08:41:06 %S A355107 1,3,18,189,2988,65070,1845666,65593773,2838648888,146342004696, %T A355107 8832171768840,615243982098438,48886929048261636,4387169287407671856, %U A355107 440884788552635315490,49250783623005351369405,6076420246639538049330288,823299493223605468234344696 %N A355107 E.g.f. A(x) satisfies: A(x) = 1 + 3 * x * A(-log(1-x)). %F A355107 a(0) = 1; a(n) = 3 * n * Sum_{k=0..n-1} |Stirling1(n-1,k)| * a(k). %F A355107 a(n) = 3 * n * A355099(n-1) for n>0. %o A355107 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=3*i*sum(j=0, i-1, abs(stirling(i-1, j, 1))*v[j+1])); v; %Y A355107 Cf. A354730, A355106. %Y A355107 Cf. A355099. %K A355107 nonn %O A355107 0,2 %A A355107 _Seiichi Manyama_, Jun 19 2022