A038061 a(n) = 3^n*n^(n-1).

3, 18, 243, 5184, 151875, 5668704, 257298363, 13759414272, 847288609443, 59049000000000, 4594736955793347, 394865111526801408, 37144672966729275363, 3796313155316599873536, 418886580596209716796875

Offset

1,1

Comments

Labeled rooted trees with 3-colored nodes.

Links

Table of n, a(n) for n=1..15.

Index entries for sequences related to rooted trees

Formula

E.g.f. B(3x) where B(x) is e.g.f. of A000169.

E.g.f. A(x) satisfies: A(x) = 3 * x * exp(A(x)). - Ilya Gutkovskiy, Jun 09 2026

Maple

A038061:=n->3^n*n^(n-1): seq(A038061(n), n=1..20); # Wesley Ivan Hurt, Feb 13 2017

Mathematica

Table[3^n n^(n-1), {n, 20}] (* Harvey P. Dale, Aug 24 2012 *)

Crossrefs

Cf. A000169, A038055-A038062.

Sequence in context: A137223 A159640 A395194 * A232916 A327231 A279490

Adjacent sequences: A038058 A038059 A038060 * A038062 A038063 A038064

Keyword

nonn,changed

Author

Christian G. Bower, Jan 04 1999

Extensions

New description from Vladeta Jovovic, Mar 08 2003

Status

approved