GCD Property of the Generalized Star of David in the Generalized Hosoya Triangle
Department of Mathematics and Computer Science
Charleston, SC 29409
Robinson A. Higuita
Departamento de Matemáticas
Universidad de Antioquia
Department of Mathematics, Computer Science and Information Systems
California University of Pennsylvania
California, PA 15419
The generalized Hosoya triangle is an arrangement of numbers in
which each entry is a product of two generalized Fibonacci numbers. We
prove the GCD property for the star of David of length two. We give
necessary and sufficient conditions such that the star of David of
length three satisfies the GCD property. We propose some open questions
and a conjecture for the star of David of length bigger than or equal
to four. We also study GCD properties and modularity properties of
generalized Fibonacci numbers.
Full version: pdf,
(Concerned with sequences
Received August 22 2013;
revised versions received December 11 2013; January 28 2013.
Published in Journal of Integer Sequences, February 16 2014.
Journal of Integer Sequences home page