1,3

A rooted tree with thinning limbs is such that if a node has k children, all its children have at most k children.

Alois P. Heinz, Table of n, a(n) for n = 1..150

G.f.: A(x) = A0(x)+A1(x)+A2(x)+... where A0(x)=x, An(x) = x*(A0(x)+A1(x)+...+An(x))^n.

Cf. A000108, A124343-A124348.

Row sums of A124328.

Sequence in context: A220872 A317876 A124501 * A049125 A191768 A027432

Adjacent sequences: A124341 A124342 A124343 * A124345 A124346 A124347

nonn

Christian G. Bower, Oct 30 2006, suggested by Franklin T. Adams-Watters

approved