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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/133592026-10-18T20:36:51Zopenairedrivercom_ebyu_10000col_ebyu_10001

New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbersÇelik, SongülDurukan, İnanÖzkan, EnginBinet formulaFibonacci numbersJacobstal numbersJacobsthal-Lucas numbersPell numbersPell-Lucas numbersBinet formulasJacobstal numberJacobsthal numbersLucas numbersPell-luca numberNumber theoryIn 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. © 2021 Elsevier LtdElsevier Ltd2021Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/13359https://doi.org/10.1016/j.chaos.2021.1111730960-0779enChaos, Solitons and Fractalsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13359