2 citations · 4 across the 17 of their papers we have counts for
7 papers · 2 filters
Generating Trees and Fibonacci Polyominoes
Juan F. Pulido, José L. Ramírez, Andrés R. Vindas-Meléndez
We study a new class of polyominoes, called -Fibonacci polyominoes, defined using -Fibonacci words. We enumerate these polyominoes by applying generating functions to capture…
Some distributions in increasing and flattened permutations
Jean-Luc Baril, José L. Ramírez
We examine the distribution and popularity of different parameters (such as the number of descents, runs, valleys, peaks, right-to-left minima, and more) on the sets of increasing…
Differential equations in Ward's calculus
Ana Luzón, Manuel A. Morón, José L. Ramírez
In this paper we solve some differential equations in the derivative in Ward's sense. We use a special metric in the formal power series ring $\K[[x]]$. The solutions of that…
Flattened Catalan Words
Jean-Luc Baril, Pamela E. Harris, José L. Ramírez
In this work, we define flattened Catalan words as Catalan words whose runs of weak ascents have leading terms that appear in weakly increasing order. We provide generating functio…
Enumerating runs, valleys, and peaks in Catalan words
Jean-Luc Baril, Pamela E. Harris, Kimberly J. Harry +2
We provide generating functions, formulas, and asymptotic expressions for the number of Catalan words based on the number of runs of ascents (descents), runs of weak ascents (desce…
Grand zigzag knight's paths
Jean-Luc Baril, Nathanaël Hassler, Sergey Kirgizov +1
We study the enumeration of different classes of grand knight's paths in the plane. In particular, we focus on the subsets of zigzag knight's paths that are subject to constraints.…