A354730 - OEIS

%I #11 Jun 04 2022 09:41:57

%S 1,1,2,9,68,750,11214,216559,5217176,152742528,5324034480,

%T 217322508194,10248159667140,551968543756448,33627829222316770,

%U 2298114390067518705,174893648144384932176,14727538317383970615352,1364522959678851181512504

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

%F a(0) = 1; a(n) = n * Sum_{k=0..n-1} |Stirling1(n-1,k)| * a(k).

%F a(n) = n * A135750(n-1) for n>0.

%o (PARI) a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=i*sum(j=0, i-1, abs(stirling(i-1, j, 1))*v[j+1])); v;

%Y Cf. A048801, A135750, A354729.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Jun 04 2022