%I #8 Feb 17 2018 21:11:59
%S 0,0,0,0,1,1,6,11,42,92,294,720,2119,5460,15477,40989,114165,306980,
%T 848268,2301794,6341450,17308926,47659837,130628590,359924353,
%U 989642184,2730224431,7526539869,20795818601,57457010219
%N Number of rooted trees with n nodes and omega-valency 3.
%C See A003120 for definitions.
%H J.-C. Arditti, <a href="http://dx.doi.org/10.1016/0012-365X(73)90135-0">Dénombrement des arborescences dont le graphe de comparabilité est Hamiltonien</a>, Discrete Math., 5 (1973), 189-200.
%Y Cf. A003120, A193487, A193489, A193490, A193491.
%K nonn
%O 1,7
%A _N. J. A. Sloane_, Jul 27 2011