%I #22 Jun 19 2022 08:40:33

%S 1,2,10,86,1106,19562,451014,13051586,460907034,19434738686,

%T 961628831658,55046140338642,3602414472002206,266842000568643866,

%U 22180625837341816898,2053584526860808500094,210393497508897167616290,23715128208081620773251530

%N E.g.f. A(x) satisfies A(x) = 1 + 2 * (exp(x) - 1) * A(exp(x) - 1).

%F E.g.f. A(x) satisfies: A(log(1+x)) = 1 + 2*x*A(x).

%F a(0) = 1; a(n) = 2 * Sum_{k=1..n} k * Stirling2(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]=2*sum(j=1, i, j*stirling(i, j, 2)*v[j])); v;

%Y Cf. A213357, A355092.

%Y Cf. A355100.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Jun 19 2022