A355122 - OEIS

%I #8 Jun 20 2022 08:36:19

%S 1,1,5,73,2725,242921,50068197,23441365641,24644653272869,

%T 57655911504114985,297771560486880287589,3370400630994211122517705,

%U 83052841013576647141181337509,4428866659075152490151174819022697,508340576698412171558866359984025695205

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

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

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

%Y Cf. A213357, A352860, A355083.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Jun 20 2022