A055307 Number of labeled rooted trees with n nodes and 6 leaves.

7, 3528, 486864, 39160800, 2357586000, 119409111360, 5426122141440, 230006844587520, 9326497051872000, 367969396354560000, 14295131088292454400, 551514022702420377600, 21263333439482226892800

Offset: 7

Author

Christian G. Bower, May 11 2000

Keywords

• nonn

Links

• Vincenzo Librandi, Table of n, a(n) for n = 7..200
• Index entries for sequences related to rooted trees

Crossrefs

Column 6 of A055302.

Programs

Magma

[Factorial(n)*(n-6)^2*(n-5)^2*(n-4)*(n-3)*(n-2)*(n-1)*(3*n^2-29*n+ 64)/8294400: n in [7..25]]; // Vincenzo Librandi, Jul 25 2014

Maple

seq(n! * (n-6)^2*(n-5)^2*(n-4)*(n-3)*(n-2)*(n-1)*(3*n^2 - 29*n + 64)/8294400, n=7..100); # Robert Israel, Jul 25 2014

Mathematica

Table[n! * (n-6)^2*(n-5)^2*(n-4)*(n-3)*(n-2)*(n-1)*(3*n^2 - 29*n + 64)/8294400,{n,7,20}] (* Vaclav Kotesovec, Jul 25 2014 *)

Formula

a(n) = n! * (n-6)^2*(n-5)^2*(n-4)*(n-3)*(n-2)*(n-1)*(3*n^2 - 29*n + 64)/8294400. - Vaclav Kotesovec, Jul 25 2014

E.g.f: x^7*(120*x^4+444*x^3+328*x^2+52*x+1)/(720*(1-x)^11). - Robert Israel, Jul 25 2014