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%I #8 Jul 12 2014 18:15:18
%S 1,1,2,3,5,7,12,17,28,42,69,105,176,275,460,740,1244,2030,3440,5695,
%T 9688,16243,27758,46948,80610,137401,236796,406258,702720,1211954,
%U 2103536,3644413,6344632,11035287,19265731,33621510,58848963,103003059,180712466,317122290
%N Number of n-node unlabeled rooted trees with thickening limbs.
%C Also the number of (n+1)-node unlabeled rooted trees with thickening limbs and root outdegree (branching factor) 1.
%C In a rooted tree with thickening limbs the outdegree of a parent node is smaller than or equal to the outdegree of any of its non-leaf child nodes.
%H Alois P. Heinz, <a href="/A245152/b245152.txt">Table of n, a(n) for n = 1..150</a>
%F a(n) = Sum_{k=0..n-1} A245151(n,k).
%Y Row sums of A245151, also (with offset 2) column k=1 of A245151.
%K nonn
%O 1,3
%A _Alois P. Heinz_, Jul 12 2014
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