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%I #5 Jul 31 2013 17:55:40
%S 1,1,2,5,19,87,484,3110,22869,188938,1735684,17544342,193537909,
%T 2313316683,29780777636,410783319119,6043874244604,94478706232996,
%U 1563722273109142,27318062153696564,502345167237496931
%N Number of increasing 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.
%C In an increasing rooted tree, nodes are numbered and numbers increase as you move away from root.
%Y Cf. A000142, A124343-A124348.
%K nonn
%O 1,3
%A _Christian G. Bower_, Oct 30 2006, suggested by _Franklin T. Adams-Watters_
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