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%I #13 Jun 25 2022 07:12:11
%S 1,2,6,28,236,4400,197552,20430656,4600591488,2179887358272,
%T 2130534442932416,4243581375963409024,17097951082212352465536,
%U 138722374358947243721661440,2260145794657531151029628653568,73822509077371344216463442074629120
%N E.g.f. A(x) satisfies A'(x) = 1 + A(2 * log(1+x)).
%H Seiichi Manyama, <a href="/A355208/b355208.txt">Table of n, a(n) for n = 1..82</a>
%F a(1) = 1; a(n+1) = Sum_{k=1..n} 2^k * Stirling1(n,k) * a(k).
%o (PARI) a_vector(n) = my(v=vector(n)); v[1]=1; for(i=1, n-1, v[i+1]=sum(j=1, i, 2^j*stirling(i, j, 1)*v[j])); v;
%Y Cf. A307874, A355133, A355204.
%K nonn
%O 1,2
%A _Seiichi Manyama_, Jun 24 2022
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