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%I #17 Sep 08 2022 08:45:01
%S 12,159588,188972784,82965682800,21005730345600,3748679961586560,
%T 526390865228067840,62217055603837854720,6471318681640036224000,
%U 610909570703009305728000,53525038934303849706393600
%N Number of labeled trees with n nodes and 11 leaves.
%H Vincenzo Librandi, <a href="/A055323/b055323.txt">Table of n, a(n) for n = 12..200</a>
%H <a href="/index/Tra#trees">Index entries for sequences related to trees</a>
%F (n!/11!)*Stirling2(n-2, n-11). - _Vladeta Jovovic_, Jan 28 2004
%F a(n) = n! * (n-11)^2*(n-10)^2*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(15*n^6 - 825*n^5 + 18615*n^4 - 220127*n^3 + 1435578*n^2 - 4882792*n + 6746112) / 111244864389120000. - _Vaclav Kotesovec_, Jul 25 2014
%t Table[n! * (n-11)^2*(n-10)^2*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(15*n^6 - 825*n^5 + 18615*n^4 - 220127*n^3 + 1435578*n^2 - 4882792*n + 6746112) / 111244864389120000,{n,12,25}] (* _Vaclav Kotesovec_, Jul 25 2014 *)
%o (Magma) [Factorial(n)*(n-11)^2*(n-10)^2*(n-9)*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(15*n^6 - 825*n^5 + 18615*n^4 - 220127*n^3 + 1435578*n^2 - 4882792*n + 6746112) / 111244864389120000: n in [12..25]]; _Vincenzo Librandi_, Jul 25 2014
%Y Column 11 of A055314.
%K nonn
%O 12,1
%A _Christian G. Bower_, May 11 2000
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