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

Songül Çelik, İnan Durukan and Engin Özkan

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: In 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.

Keywords: Binet formula; Fibonacci numbers; Jacobstal numbers; Jacobsthal-Lucas numbers; Pell numbers; Pell-Lucas numbers (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005270

DOI: 10.1016/j.chaos.2021.111173

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