Date of Award

2013

Document Type

Thesis

Degree Name

Master of Arts in Mathematics

Department

Mathematics

First Advisor

Chavez, Joseph

Second Advisor

Trapp, Rolland

Third Advisor

Hasan, Zahid, and Williams, Peter

Abstract

The purpose of this thesis is to study the Fibonacci sequence in a context many are unfamiliar with. A triangular array of numbers, similar looking to Pascal's triangle, was constructed a few decades ago and is called Hosoya's triangle. Each element within the triangle is created using Fibonacci numbers.

Included in

Number Theory Commons

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