9 papers · 1 filter
Generating Trees and Fibonacci Polyominoes
Juan F. Pulido, José L. RamÃrez, 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…
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.…
Some distributions in increasing and flattened permutations
Jean-Luc Baril, José L. RamÃrez
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…
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…
Differential equations in Ward's calculus
Ana Luzón, Manuel A. Morón, José L. RamÃrez
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…
Pattern Avoidance in Weak Ascent Sequences
Beáta Bényi, Toufik Mansour, José L. RamÃrez
In this paper, we study pattern avoidance in weak ascent sequences, giving some results for patterns of length 3. This is an analogous study to one given by Duncan and SteingrÃmss…