A365546 E.g.f. satisfies A(x) = 1 - log(1 - x*A(x)^3)/A(x)^2.

1, 1, 3, 23, 298, 5314, 120776, 3341568, 108992472, 4095073848, 174169888536, 8272115427432, 433956083676336, 24921123498835056, 1555004372522100384, 104757005524567577088, 7578056156152486855680, 585874671534300791384064

Offset

0,3

Links

Table of n, a(n) for n=0..17.

Formula

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

Prog

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

Crossrefs

Cf. A138013, A365438.

Sequence in context: A333957 A343849 A307418 * A231788 A356872 A088692

Adjacent sequences: A365543 A365544 A365545 * A365547 A365548 A365549

Keyword

nonn

Author

Seiichi Manyama, Nov 08 2023

Status

approved