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%I #8 Jun 19 2022 08:42:03
%S 1,2,6,14,-50,-838,1730,136530,-486826,-53845210,608573414,
%T 39761626434,-1250658124134,-39125693738246,3470290682698798,
%U 1980500546819286,-11592469556319388642,475984934077375262394,35772633977318034763762
%N E.g.f. A(x) satisfies A(x) = 1 + 2 * (1 - exp(-x)) * A(1 - exp(-x)).
%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} (-1)^(n-k) * 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, (-1)^(i-j)*j*stirling(i, j, 2)*v[j])); v;
%Y Cf. A353177, A355094.
%Y Cf. A355102.
%K sign
%O 0,2
%A _Seiichi Manyama_, Jun 19 2022
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