%I A036661
%S A036661 1,1,2,4,8,15,32,66,142,306,672,1483,3316,7446,16859,38353,87735,
%T A036661 201510,464801,1075744,2498053,5817576,13585231,31801732,74615404,
%U A036661 175433624,413281276,975355639,2305763635,5459480822,12945857671
%N A036661 Number of n-node rooted labeled trees with deg <=4 at root and out-degree 
               <=2 elsewhere.
%H A036661 <a href="Sindx_Ro.html#rooted">Index entries for sequences related to 
               rooted trees</a>
%H A036661 <a href="Sindx_Tra.html#trees">Index entries for sequences related to 
               trees</a>
%F A036661 G.f.: A(x) = x*cycle_index(S4, f), where f = A001190(x)/x.
%F A036661 Cf. A000671.
%Y A036661 Sequence in context: A092603 A086125 A061030 this_sequence A145671 A108693 
               A007673
%Y A036661 Adjacent sequences: A036658 A036659 A036660 this_sequence A036662 A036663 
               A036664
%K A036661 nonn,easy
%O A036661 0,3
%A A036661 N. J. A. Sloane (njas(AT)research.att.com).