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 A355099 #9 Jun 19 2022 09:43:09 %S A355099 1,3,21,249,4338,102537,3123513,118277037,5420074248,294405725628, %T A355099 18643757033286,1357970251340601,112491520189940304, %U A355099 10497256870300840845,1094461858289007808209,126592088471657042694381,16143127318109911141849896,2257107645258692949884188932 %N A355099 E.g.f. A(x) satisfies A(x) = 1 - 3 * log(1-x) * A(-log(1-x)). %F A355099 E.g.f. A(x) satisfies: A(1 - exp(-x)) = 1 + 3*x*A(x). %F A355099 a(0) = 1; a(n) = 3 * Sum_{k=1..n} k * |Stirling1(n,k)| * a(k-1). %o A355099 (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=3*sum(j=1, i, j*abs(stirling(i, j, 1))*v[j])); v; %Y A355099 Cf. A135750, A355098. %Y A355099 Cf. A355107. %K A355099 nonn %O A355099 0,2 %A A355099 _Seiichi Manyama_, Jun 19 2022