A124348 Number of increasing rooted trees on n nodes with thinning limbs.

1, 1, 2, 5, 19, 87, 484, 3110, 22869, 188938, 1735684, 17544342, 193537909, 2313316683, 29780777636, 410783319119, 6043874244604, 94478706232996, 1563722273109142, 27318062153696564, 502345167237496931

Offset: 1

Author

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

Keywords

• nonn

Comments

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

In an increasing rooted tree, nodes are numbered and numbers increase as you move away from root.

Crossrefs

Cf. A000142, A124343-A124348.