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%I #7 Jun 20 2022 08:36:53
%S 1,2,18,484,33756,5726688,2282797376,2092535127520,4343501656698208,
%T 20170260943214036928,207447888426953360929472,
%U 4684772419161811298440759936,230574775676259398837728211069824,24573264762390563391638492791134674432
%N E.g.f. A(x) satisfies A(x) = 1 - 2 * log(1-x) * A(-2 * log(1-x)).
%F E.g.f. A(x) satisfies: A(1 - exp(-x)) = 1 + 2*x*A(2*x).
%F a(0) = 1; a(n) = Sum_{k=1..n} k * 2^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]=sum(j=1, i, j*2^j*abs(stirling(i, j, 1))*v[j])); v;
%Y Cf. A355121, A355126.
%K nonn
%O 0,2
%A _Seiichi Manyama_, Jun 20 2022
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