A355209 - OEIS

%I #14 Jun 25 2022 07:12:36

%S 1,2,10,108,2308,94384,7315728,1077605632,304189296192,

%T 166216599473344,177463576125821632,373017466526422396288,

%U 1552199775052648327045760,12835792253795957289436533760,211464475635678910995043533156352

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

%H Seiichi Manyama, <a href="/A355209/b355209.txt">Table of n, a(n) for n = 1..81</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*abs(stirling(i, j, 1))*v[j])); v;

%Y Cf. A143805, A355134, A355205.

%K nonn

%O 1,2

%A _Seiichi Manyama_, Jun 24 2022