A055310 Number of labeled rooted trees with n nodes and 9 leaves.

10, 56210, 37621320, 10493357160, 1803842280240, 228599313742800, 23567044281580800, 2099312576058297600, 168119161594140556800, 12440787291129176179200, 867641306901247726848000

Offset

10,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 10..200

Index entries for sequences related to rooted trees

Formula

a(n) = n! * (n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(135*n^7 - 7245*n^6 + 164745*n^5 - 2054535*n^4 + 15148840*n^3 - 65892420*n^2 + 156108464*n - 154828800)/505658474496000. - Vaclav Kotesovec, Jul 25 2014

Mathematica

Table[n! * (n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(135*n^7 - 7245*n^6 + 164745*n^5 - 2054535*n^4 + 15148840*n^3 - 65892420*n^2 + 156108464*n - 154828800)/505658474496000, {n, 10, 20}] (* Vaclav Kotesovec, Jul 25 2014 *)

Prog

(Magma) [Factorial(n)*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(135*n^7 - 7245*n^6 + 164745*n^5 - 2054535*n^4 + 15148840*n^3 - 65892420*n^2 + 156108464*n - 154828800)/505658474496000: n in [10..25]]; // Vincenzo Librandi, Jul 25 2014

Crossrefs

Column 9 of A055302.

Sequence in context: A048916 A366313 A260797 * A371644 A048832 A225070

Adjacent sequences: A055307 A055308 A055309 * A055311 A055312 A055313

Keyword

nonn

Author

Christian G. Bower, May 11 2000

Status

approved