Families of Primitive Pythagorean Triples Involving Terms of Generalized Fibonacci and Lucas Sequences

ÖMÜR N., SENER C. D., KOPARAL S.

JOURNAL OF MATHEMATICAL EXTENSION, vol.10, no.4, pp.45-59, 2016 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 4
  • Publication Date: 2016
  • Journal Name: JOURNAL OF MATHEMATICAL EXTENSION
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.45-59
  • Kocaeli University Affiliated: Yes

Abstract

In this paper, we consider primitive Pythagorean triples with terms of the generalized Fibonacci and Lucas sequences. We give families of primitive Pythagorean triples whose coefficient may all be simply expressed in terms of the generalized Fibonacci and Lucas sequences.