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Number of labeled rooted trees with n nodes and 4 leaves.
1

%I #15 Sep 08 2022 08:45:01

%S 5,450,18900,588000,15876000,400075200,9779616000,237105792000,

%T 5779453680000,142845262560000,3599700616512000,92818726640640000,

%U 2454539660052480000,66664716210892800000,1861170036255129600000

%N Number of labeled rooted trees with n nodes and 4 leaves.

%H Vincenzo Librandi, <a href="/A055305/b055305.txt">Table of n, a(n) for n = 5..200</a>

%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>

%F a(n) = n! * (n-4)^2*(n-3)^2*(n-2)*(n-1)/1152. - _Vaclav Kotesovec_, Jul 25 2014

%t Table[n! * (n-4)^2*(n-3)^2*(n-2)*(n-1)/1152,{n,5,20}] (* _Vaclav Kotesovec_, Jul 25 2014 *)

%o (Magma) [Factorial(n)*(n-4)^2*(n-3)^2*(n-2)*(n-1)/1152 : n in [5..25]]; // _Vincenzo Librandi_, Jul 25 2014

%Y Column 4 of A055302.

%K nonn

%O 5,1

%A _Christian G. Bower_, May 11 2000