2 citations · 4 across the 17 of their papers we have counts for
9 papers · 1 filter
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…
Fibonacci--Theodorus Spiral and its properties
Michael R. Bacon, Charles K. Cook, Rigoberto Flórez +3
Inspired by the ancient spiral constructed by the greek philosopher Theodorus which is based on concatenated right triangles, we have created a spiral. In this spiral, called \emph…
Counting Colored Tilings on Grids and Graphs
José L. Ramírez, Diego Villamizar
In this paper, we explore some generalizations of a counting problem related to tilings in grids of size 2xn, which was originally posed as a question on Mathematics Stack Exchange…
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…