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A355131 E.g.f. A(x) satisfies A(x) = 1 + 2 * (exp(x) - 1) * A(2 * (exp(x) - 1)). 2

%I

%S 1,2,18,482,33554,5688162,2266828306,2077710037986,4312607047919378,

%T 20026622857699101794,205970083615742633015314,

%U 4651396041100180736449396962,228932014511191529094605862938898,24398187888144654481778017293891600738

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

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

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

%Y Cf. A355122, A355128.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Jun 20 2022

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Last modified September 30 03:02 EDT 2022. Contains 357095 sequences. (Running on oeis4.)