A355215 - OEIS

%I #15 Jun 25 2022 07:13:26

%S 1,1,3,20,260,6304,281096,23095768,3534364152,1022066008944,

%T 566769639800624,610404514456781600,1289451019913455115232,

%U 5380706591109919979010304,44564091018102742571511384320,734792950974385564221797653105152

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

%H Seiichi Manyama, <a href="/A355215/b355215.txt">Table of n, a(n) for n = 1..82</a>

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

%Y Cf. A355121, A355209.

%K nonn

%O 1,3

%A _Seiichi Manyama_, Jun 24 2022