New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers
Chaos, Solitons and Fractals, cilt.150, 2021 (SCI-Expanded)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Marmara Üniversitesi Adresli: Hayır
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.