A055319 Number of labeled trees with n nodes and 7 leaves.

8, 4536, 695520, 61538400, 4041576000, 221759778240, 10852244282880, 492871809830400, 21317707547136000, 893639962575360000, 36758908512752025600, 1496966633049426739200, 60752381255663505408000

Offset

8,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 8..200

Index entries for sequences related to trees

Formula

(n!/7!)*Stirling2(n-2, n-7). - Vladeta Jovovic, Jan 28 2004

a(n) = n! * (n-7)^2*(n-6)^2*(n-5)*(n-4)*(n-3)*(n-2)*(3*n^2 - 35*n + 96)/58060800. - Vaclav Kotesovec, Jul 25 2014

Mathematica

Table[n! * (n-7)^2*(n-6)^2*(n-5)*(n-4)*(n-3)*(n-2)*(3*n^2 - 35*n + 96)/58060800, {n, 8, 20}] (* Vaclav Kotesovec, Jul 25 2014 *)

Prog

(Magma) [Factorial(n)*(n-7)^2*(n-6)^2*(n-5)*(n-4)*(n-3)*(n-2)*(3*n^2 - 35*n + 96)/58060800: n in [8..25]]; // Vincenzo Librandi, Juò 25 2014

Crossrefs

Column 7 of A055314.

Sequence in context: A317375 A100351 A045478 * A029736 A206460 A340890

Adjacent sequences: A055316 A055317 A055318 * A055320 A055321 A055322

Keyword

nonn

Author

Christian G. Bower, May 11 2000

Status

approved