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math.CO2004
Old and young leaves on plane trees
William Y. C. Chen, Emeric Deutsch, Sergi Elizalde
A leaf of a plane tree is called an old leaf if it is the leftmost child of its parent, and it is called a young leaf otherwise. In this paper we enumerate plane trees with a given…
math.CO2004★ 3 cited
Congruences for Catalan and Motzkin numbers and related sequences
Emeric Deutsch, Bruce E. Sagan
We prove various congruences for Catalan and Motzkin numbers as well as related sequences. The common thread is that all these sequences can be expressed in terms of binomial coeff…