A bijection between ternary trees and a subclass of Motzkin paths
Helmut Prodinger, Sarah J. Selkirk·2018-08-06·via math.CO updates on arXiv.org
A bijection between ternary trees with $n$ nodes and a subclass of Motzkin paths of length $3n$ is given. This bijection can then be generalized to $t$-ary trees.