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%I #17 Sep 08 2022 08:45:01
%S 8,4536,695520,61538400,4041576000,221759778240,10852244282880,
%T 492871809830400,21317707547136000,893639962575360000,
%U 36758908512752025600,1496966633049426739200,60752381255663505408000
%N Number of labeled trees with n nodes and 7 leaves.
%H Vincenzo Librandi, <a href="/A055319/b055319.txt">Table of n, a(n) for n = 8..200</a>
%H <a href="/index/Tra#trees">Index entries for sequences related to trees</a>
%F (n!/7!)*Stirling2(n-2, n-7). - _Vladeta Jovovic_, Jan 28 2004
%F 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
%t 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 *)
%o (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
%Y Column 7 of A055314.
%K nonn
%O 8,1
%A _Christian G. Bower_, May 11 2000