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

Çelik S., Durukan İ., Özkan E.

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

  • Publication Type: Article / Article
  • Volume: 150
  • Publication Date: 2021
  • Doi Number: 10.1016/j.chaos.2021.111173
  • Journal Name: Chaos, Solitons and Fractals
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Keywords: Binet formula, Fibonacci numbers, Jacobstal numbers, Jacobsthal-Lucas numbers, Pell numbers, Pell-Lucas numbers
  • Erzincan Binali Yildirim University Affiliated: Yes

Abstract

© 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.