%I A052324
%S A052324 0,1,1,2,5,19,90,520,3475,26550,228050,2177020,22860090,261870070,
%T A052324 3249793360,43432062300,621911561150,9498946124800,154152712434600,
%U A052324 2648808048264400,48043086765929200,917249983543337400
%N A052324 Number of increasing rooted trees with a forbidden limb of length 3.
%C A052324 In an increasing rooted tree, nodes are numbered and numbers increase 
               as you move away from root.
%C A052324 A rooted tree with a forbidden limb of length k is a rooted tree where 
               the path from any leaf inward hits a branching node or the root within 
               k steps.
%H A052324 N. J. A. Sloane, <a href="transforms.txt">Transforms</a>
%H A052324 <a href="Sindx_Ro.html#rooted">Index entries for sequences related to 
               rooted trees</a>
%F A052324 E.g.f. satisfies A'(x)=exp(A(x)-x^3).
%Y A052324 Cf. A002955, A002988-A002992, A052319-A052329.
%Y A052324 Sequence in context: A058132 A002851 A124348 this_sequence A020115 A103816 
               A052169
%Y A052324 Adjacent sequences: A052321 A052322 A052323 this_sequence A052325 A052326 
               A052327
%K A052324 nonn,eigen
%O A052324 0,4
%A A052324 Christian G. Bower (bowerc(AT)usa.net), Dec 15 1999.