|
|
A055320
|
|
Number of labeled trees with n nodes and 8 leaves.
|
|
1
|
|
|
9, 11430, 2994750, 405167400, 38104981200, 2861947408320, 185364917337600, 10851787634688000, 592181546628672000, 30766166997261696000, 1544883657843618892800, 75806672148355180032000
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
9,1
|
|
LINKS
|
|
|
FORMULA
|
a(n) = n! * (n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(63*n^5 - 2205*n^4 + 30555*n^3 - 209251*n^2 + 707014*n - 940896)/117050572800. - Vaclav Kotesovec, Jul 25 2014
|
|
MATHEMATICA
|
Table[n! * (n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(63*n^5 - 2205*n^4 + 30555*n^3 - 209251*n^2 + 707014*n - 940896)/117050572800, {n, 9, 20}] (* Vaclav Kotesovec, Jul 25 2014 *)
|
|
PROG
|
(Magma) [Factorial(n)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(63*n^5 - 2205*n^4 + 30555*n^3 - 209251*n^2 + 707014*n - 940896)/117050572800: n in [9..25]]; // Vincenzo Librandi, Jul 25 2014
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|