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%I #4 Jul 31 2013 17:59:45
%S 1,2,9,52,425,4266,52507,754944,12499209,233296030,4852006181,
%T 111149993736,2781312439633,75460291482772,2206445155886805,
%U 69163853027437216,2313709581153992033,82271226298253976054
%N Number of labeled rooted trees on n nodes with thinning limbs.
%C A rooted tree with thinning limbs is such that if a node has k children, all its children have at most k children.
%Y Cf. A000169, A124343-A124348.
%K nonn
%O 1,2
%A _Christian G. Bower_, Oct 30 2006, suggested by _Franklin T. Adams-Watters_
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