OFFSET
1,3
COMMENTS
A rooted tree with thinning limbs is such that if a node has k children, all its children have at most k children.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 1..150
FORMULA
G.f.: A(x) = A0(x)+A1(x)+A2(x)+... where A0(x)=x, An(x) = x*(A0(x)+A1(x)+...+An(x))^n.
CROSSREFS
KEYWORD
nonn
AUTHOR
Christian G. Bower, Oct 30 2006, suggested by Franklin T. Adams-Watters
STATUS
approved