A377323 E.g.f. satisfies A(x) = 1 - log(1 - x*A(x)^3)/A(x).

1, 1, 5, 53, 884, 20234, 589834, 20903700, 872660256, 41944510752, 2281437791448, 138539360885760, 9290720296262976, 681965664411820944, 54384461861952738528, 4682101594725064872768, 432815761314471190599936, 42757813607285233998385920, 4495579313771176952867958528

Offset: 0

Author

Seiichi Manyama, Oct 24 2024

Keywords

• nonn

Crossrefs

Cf. A365546, A367139, A367152, A377327.

Cf. A365438, A377325.

Programs

PARI

a(n) = sum(k=0, n, (3*n-k)!/(3*n-2*k+1)!*abs(stirling(n, k, 1)));

Formula

a(n) = Sum_{k=0..n} (3*n-k)!/(3*n-2*k+1)! * |Stirling1(n,k)|.