Planted Tree
A planted tree is a rooted tree whose root vertex has vertex degree 1. The number of planted
trees of
nodes is
, where
is the number of rooted
trees of
vertices (Harary 1994, pp. 188-190),
so there are 0, 1, 1, 2, 4, 9, 20, 48, 115, 286, 719, 1842, ... (OEIS A000081)
planted trees of
, 2, 3, ... vertices.
acyclic graph

