A Combinatorial Approach to $r$-Fibonacci Numbers

In this paper we explore generalized “$r$-Fibonacci Numbers” using a combinatorial “tiling” interpretation. This approach allows us to provide simple, intuitive proofs to several identities involving $r$-Fibonacci Numbers presented by F.T. Howard and Curtis Cooper in the August, 2011, issue of the F...

Full description

Bibliographic Details
Main Author: Heberle, Curtis
Format: Others
Published: Scholarship @ Claremont 2012
Online Access:https://scholarship.claremont.edu/hmc_theses/34