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%I #16 Feb 20 2024 02:20:49
%S 1,8,110,2184,57120,1860480,72681840,3315312000,173059286400,
%T 10178348544000,666172912204800,48032775105638400,3783468344527872000,
%U 323279062935013785600,29783920485745730304000,2943352142120754524160000,310589942708652231905280000
%N a(n) = (n-1)!*binomial(3*n,n)/(3*(2*n+1)).
%H M. Bousquet and C. Lamathe, <a href="https://doi.org/10.1016/j.disc.2004.11.015">Enumeration of solid trees according to edge number and edge degree distribution</a>, Discr. Math., 298 (2005), 115-141.
%F 2*n*(2*n+1)*a(n) - 3*(n-1)*(3*n-1)*(3*n-2)*a(n-1) = 0. - _R. J. Mathar_, Jun 07 2013
%K nonn
%O 2,2
%A _N. J. A. Sloane_, May 18 2003
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