Families of primitive Pythagorean triples involving terms of generalized Fibonacci and Lucas sequences

ÖMÜR N., ŞENER C. D., KOPARAL S.

Journal of Mathematical Extension, cilt.10, sa.4, ss.45-59, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 4
  • Basım Tarihi: 2016
  • Dergi Adı: Journal of Mathematical Extension
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.45-59
  • Anahtar Kelimeler: Generalized Fibonacci numbers, Pythagorean triples, primitive Pythagorean triples
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

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.