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%I #16 Jun 12 2022 06:42:52
%S 1,1,2,4,8,15,32,66,142,306,672,1483,3316,7446,16859,38353,87735,
%T 201510,464801,1075744,2498053,5817576,13585231,31801732,74615404,
%U 175433624,413281276,975355639,2305763635,5459480822,12945857671
%N Number of n-node rooted labeled trees with deg <= 4 at root and outdegree <= 2 elsewhere.
%H <a href="/index/Ro#rooted">Index entries for sequences related to rooted trees</a>
%H <a href="/index/Tra#trees">Index entries for sequences related to trees</a>
%F G.f.: A(x) = x*cycle_index(S4, f), where f = A001190(x)/x.
%Y Cf. A000671, A001190.
%K nonn,easy
%O 0,3
%A _N. J. A. Sloane_
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