New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers

Çelik S., Durukan İ., Özkan E.

Chaos, Solitons and Fractals, cilt.150, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 150
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1016/j.chaos.2021.111173
  • Dergi Adı: Chaos, Solitons and Fractals
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Anahtar Kelimeler: Binet formula, Fibonacci numbers, Jacobstal numbers, Jacobsthal-Lucas numbers, Pell numbers, Pell-Lucas numbers
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

© 2021 Elsevier LtdIn this study, the Pell numbers are placed clockwise on the vertices of the polygons with a number corresponding to each vertex. Then, a relation among the numbers corresponding to a vertex is given. Furthermore, we obtain a formula which gives the mth term of the sequence formed at the kth vertex in an n-gon. The same procedure is repeated with Pell-Lucas, Jacobsthal and Jacobsthal-Lucas numbers.