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