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A355205 E.g.f. A(x) satisfies A'(x) = 1 + 2 * A(-log(1-x)). 3

%I

%S 1,2,6,28,184,1596,17508,235592,3799736,72125344,1587567768,

%T 40027332256,1144113365576,36747710168568,1316192996129064,

%U 52219780699310176,2281487895137577232,109193200290592216368,5698144666408068511472

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

%H Seiichi Manyama, <a href="/A355205/b355205.txt">Table of n, a(n) for n = 1..325</a>

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

%Y Cf. A143805, A355098.

%K nonn

%O 1,2

%A _Seiichi Manyama_, Jun 24 2022

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Last modified September 29 16:23 EDT 2022. Contains 357090 sequences. (Running on oeis4.)