A055311 Number of labeled rooted trees with n nodes and 10 leaves.

11, 135036, 148478616, 60841500720, 14441439612600, 2425616445732480, 321683306528263680, 36020400612748231680, 3559225274902019923200, 320000251320623922048000, 26762519467151924853196800

Offset: 11

Author

Christian G. Bower, May 11 2000

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 11..200
• Index entries for sequences related to rooted trees

Crossrefs

Column 10 of A055302.

Programs

Magma

[Factorial(n)*(n-10)^2*(n-9)^2*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^6 - 735*n^5 + 14715*n^4 - 153617*n^3 + 878862*n^2 - 2601592*n + 3096576) / 10113169489920000: n in [11..25]]; // Vincenzo Librandi, Jul 25 2014

Mathematica

Table[n! * (n-10)^2*(n-9)^2*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^6 - 735*n^5 + 14715*n^4 - 153617*n^3 + 878862*n^2 - 2601592*n + 3096576)/10113169489920000,{n,11,20}] (* Vaclav Kotesovec, Jul 25 2014 *)

Formula

a(n) = n! * (n-10)^2*(n-9)^2*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^6 - 735*n^5 + 14715*n^4 - 153617*n^3 + 878862*n^2 - 2601592*n + 3096576)/10113169489920000. - Vaclav Kotesovec, Jul 25 2014