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...

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Bibliographic Details
Main Author: Heberle, Curtis
Format: Others
Published: Scholarship @ Claremont 2012
Subjects:
Online Access:https://scholarship.claremont.edu/hmc_theses/34
https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1033&context=hmc_theses