A055323 - OEIS

A055323

Number of labeled trees with n nodes and 11 leaves.

12, 159588, 188972784, 82965682800, 21005730345600, 3748679961586560, 526390865228067840, 62217055603837854720, 6471318681640036224000, 610909570703009305728000, 53525038934303849706393600

(list; graph; refs; listen; history; text; internal format)

OFFSET

12,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 12..200

Index entries for sequences related to trees

FORMULA

(n!/11!)*Stirling2(n-2, n-11). - Vladeta Jovovic, Jan 28 2004

a(n) = n! * (n-11)^2*(n-10)^2*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(15*n^6 - 825*n^5 + 18615*n^4 - 220127*n^3 + 1435578*n^2 - 4882792*n + 6746112) / 111244864389120000. - Vaclav Kotesovec, Jul 25 2014

MATHEMATICA

Table[n! * (n-11)^2*(n-10)^2*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(15*n^6 - 825*n^5 + 18615*n^4 - 220127*n^3 + 1435578*n^2 - 4882792*n + 6746112) / 111244864389120000, {n, 12, 25}] (* Vaclav Kotesovec, Jul 25 2014 *)

PROG

(Magma) [Factorial(n)*(n-11)^2*(n-10)^2*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(15*n^6 - 825*n^5 + 18615*n^4 - 220127*n^3 + 1435578*n^2 - 4882792*n + 6746112) / 111244864389120000: n in [12..25]]; Vincenzo Librandi, Jul 25 2014

CROSSREFS

Column 11 of A055314.

Sequence in context: A069048 A284287 A100246 * A368686 A333099 A264040

Adjacent sequences: A055320 A055321 A055322 * A055324 A055325 A055326

KEYWORD

nonn

AUTHOR

Christian G. Bower, May 11 2000

STATUS

approved