A354730 E.g.f. A(x) satisfies: A(x) = 1 + x * A(-log(1-x)).

1, 1, 2, 9, 68, 750, 11214, 216559, 5217176, 152742528, 5324034480, 217322508194, 10248159667140, 551968543756448, 33627829222316770, 2298114390067518705, 174893648144384932176, 14727538317383970615352, 1364522959678851181512504

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

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

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

Prog

(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;

Crossrefs

Cf. A048801, A135750, A354729.

Sequence in context: A134261 A120980 A020563 * A193160 A255537 A272663

Adjacent sequences: A354727 A354728 A354729 * A354731 A354732 A354733

Keyword

nonn

Author

Seiichi Manyama, Jun 04 2022

Status

approved