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A055319
Number of labeled trees with n nodes and 7 leaves.
1
8, 4536, 695520, 61538400, 4041576000, 221759778240, 10852244282880, 492871809830400, 21317707547136000, 893639962575360000, 36758908512752025600, 1496966633049426739200, 60752381255663505408000
OFFSET
8,1
FORMULA
(n!/7!)*Stirling2(n-2, n-7). - Vladeta Jovovic, Jan 28 2004
a(n) = n! * (n-7)^2*(n-6)^2*(n-5)*(n-4)*(n-3)*(n-2)*(3*n^2 - 35*n + 96)/58060800. - Vaclav Kotesovec, Jul 25 2014
MATHEMATICA
Table[n! * (n-7)^2*(n-6)^2*(n-5)*(n-4)*(n-3)*(n-2)*(3*n^2 - 35*n + 96)/58060800, {n, 8, 20}] (* Vaclav Kotesovec, Jul 25 2014 *)
PROG
(Magma) [Factorial(n)*(n-7)^2*(n-6)^2*(n-5)*(n-4)*(n-3)*(n-2)*(3*n^2 - 35*n + 96)/58060800: n in [8..25]]; // Vincenzo Librandi, Juò 25 2014
CROSSREFS
Column 7 of A055314.
Sequence in context: A317375 A100351 A045478 * A029736 A206460 A340890
KEYWORD
nonn
AUTHOR
Christian G. Bower, May 11 2000
STATUS
approved