3 citations · 3 across the 4 of their papers we have counts for
4 papers · 1 filter
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…
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…
A simple and unusual bijection for Dyck paths and its consequences
Sergi Elizalde, Emeric Deutsch
In this paper we introduce a new bijection from the set of Dyck paths to itself. This bijection has the property that it maps statistics that appeared recently in the study of patt…
Refined Restricted Involutions
Emeric Deutsch, Aaron Robertson, Dan Saracino
Define to be the set of involutions of with exactly fixed points which avoid the pattern , for some , and define $I_n^k(\emptyset…