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%I #14 Sep 08 2022 08:45:01
%S 11,135036,148478616,60841500720,14441439612600,2425616445732480,
%T 321683306528263680,36020400612748231680,3559225274902019923200,
%U 320000251320623922048000,26762519467151924853196800
%N Number of labeled rooted trees with n nodes and 10 leaves.
%H Vincenzo Librandi, <a href="/A055311/b055311.txt">Table of n, a(n) for n = 11..200</a>
%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%F a(n) = n! * (n-10)^2*(n-9)^2*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^6 - 735*n^5 + 14715*n^4 - 153617*n^3 + 878862*n^2 - 2601592*n + 3096576)/10113169489920000. - _Vaclav Kotesovec_, Jul 25 2014
%t Table[n! * (n-10)^2*(n-9)^2*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^6 - 735*n^5 + 14715*n^4 - 153617*n^3 + 878862*n^2 - 2601592*n + 3096576)/10113169489920000,{n,11,20}] (* _Vaclav Kotesovec_, Jul 25 2014 *)
%o (Magma) [Factorial(n)*(n-10)^2*(n-9)^2*(n-8)*(n-7)*(n-6)*(n-5)*(n-4)*(n-3)*(n-2)*(n-1)*(15*n^6 - 735*n^5 + 14715*n^4 - 153617*n^3 + 878862*n^2 - 2601592*n + 3096576) / 10113169489920000: n in [11..25]]; // _Vincenzo Librandi_, Jul 25 2014
%Y Column 10 of A055302.
%K nonn
%O 11,1
%A _Christian G. Bower_, May 11 2000
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