A055312 Number of labeled rooted trees with n nodes and 11 leaves.

12, 319332, 571389000, 340433566200, 110475588787200, 24370164778901760, 4123399022616706560, 576081026260420262400, 69763488659968731264000, 7574128968889436413824000, 755406265592909947874457600

Offset: 12

Author

Christian G. Bower, May 11 2000

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 12..200
• Index entries for sequences related to rooted trees

Crossrefs

Column 11 of A055302.

Programs

Magma

[Factorial(n)*(n-11)*(n-10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(99*n^9 - 8316*n^8 + 307494*n^7 - 6562248*n^6 + 88967571*n^5 - 793483724*n^4 + 4647393828*n^3 - 17199472048*n^2 + 36398452992*n - 33443020800)/14684322099363840000: n in [12..25]]; // Vincenzo Librandi, Jul 25 2014

Mathematica

Table[n! * (n-11)*(n-10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(99*n^9 - 8316*n^8 + 307494*n^7 - 6562248*n^6 + 88967571*n^5 - 793483724*n^4 + 4647393828*n^3 - 17199472048*n^2 + 36398452992*n - 33443020800)/14684322099363840000,{n,12,25}] (* Vaclav Kotesovec, Jul 25 2014 *)

Formula

a(n) = n! * (n-11)*(n-10)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(99*n^9 - 8316*n^8 + 307494*n^7 - 6562248*n^6 + 88967571*n^5 - 793483724*n^4 + 4647393828*n^3 - 17199472048*n^2 + 36398452992*n - 33443020800)/14684322099363840000. - Vaclav Kotesovec, Jul 25 2014