3 citations · 4 across the 4 of their papers we have counts for
5 papers
Primes and composites in the determinant Hosoya triangle
Hsin-Yun Ching, Rigoberto Flórez, F. Luca +2
In this paper, we look at numbers of the form . These numbers are the entries of a triangular array called the \emph{determinant Hosoya tria…
Honeycombs in the Pascal triangle and beyond
Matthew Blair, Rigoberto Flórez, Antara Mukherjee
In this paper we present a geometric approach to discovering some known and some new identities using triangular arrays. Our main aim is to demonstrate how to use the geometric pat…
Families of Integral Cographs within a Triangular Arrays
Hsin-Yun Ching, Rigoberto Flórez, Antara Mukherjee
The \emph{determinant Hosoya triangle}, is a triangular array where the entries are the determinants of two-by-two Fibonacci matrices. The determinant Hosoya triangle g…
Matrices in the Hosoya triangle
Matthew Blair, Rigoberto Flórez, Antara Mukherjee
In this paper we use well-known results from linear algebra as tools to explore some properties of products of Fibonacci numbers. Specifically, we explore the behavior of the eigen…
Star of David and other patterns in the Hosoya-like polynomials triangles
Rigoberto Florez, Robinson A. Higuita, Antara Mukherjee
In this paper we first generalize the numerical recurrence relation given by Hosoya to polynomials. Using this generalization we construct a Hosoya-like triangle for polynomials, w…