A360988 E.g.f. satisfies A(x) = exp(x * A(-x)^3).

1, 1, -5, -44, 829, 14656, -488897, -13063616, 629051449, 22531502080, -1420908901469, -63859764079616, 4983153798630709, 269501734545522688, -25073583375908431769, -1585437525801020801024, 171326697778165116452977, 12401692280007001315999744

Offset

0,3

Links

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

Formula

a(n) = Sum_{k=0..n} (3*n - 3*k + 1)^(k-1) * (-3*k)^(n-k) * binomial(n,k).

Prog

(PARI) a(n) = sum(k=0, n, (3*n-3*k+1)^(k-1)*(-3*k)^(n-k)*binomial(n, k));

Crossrefs

Cf. A141369, A196198, A360987, A360989, A360990.

Sequence in context: A301655 A048940 A218375 * A058792 A374583 A113948

Adjacent sequences: A360985 A360986 A360987 * A360989 A360990 A360991

Keyword

sign

Author

Seiichi Manyama, Feb 27 2023

Status

approved