Research Information System
Thesis Type: Postgraduate
Institution Of The Thesis: Bursa Uludağ University, Fen Bilimleri Enstitüsü, Turkey
Approval Date: 2019
Thesis Language: Turkish
Student: Arzu Akın
Supervisor: AHMET TEKCAN
Abstract:In this work, two special integer sequences and are defined and some algebraic relations on them are derived. Furthermore, the relationship between and Pell, Pell-Lucas also balancing numbers are studied. In the first section, some preliminary notations, definitions and theorems related to in-teger sequences which are to be used in later sections are given. In the second section, the integer sequence which derived from the sum of first non-zero terms of Pell numbers is defined and obtained some algebraic rela-tions on it. Later its relationship with Pell, Pell-Lucas and balancing numbers is con-sidered. In the last section, all positive integer solutions of the Pell equation for an integer is obtained by a different method and defined a new integer sequence derived from this Pell equation and obtained some algebra-ic relations on it.