Some approximations and identities from special sequences for the vertices of suborbital graphs

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Tarih

2024

Dergi Başlığı

Dergi ISSN

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Yayıncı

Yildiz Technical University

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, we investigate the vertices arising from the action of a suborbital graph, in terms of continued fractions, matrix, and recurrence relations. Using the approximation of Fibonacci sequence by the Binet formula, we demonstrate that the vertices of the suborbital graph are related to Lucas numbers. Then, we provide new identities and approximations regarding Fibonacci, Lucas, Pell, and Pell-Lucas numbers.

Açıklama

Anahtar Kelimeler

Continued Fraction, Generalized Fibonacci Numbers, Modular Group

Kaynak

Sigma Journal of Engineering and Natural Sciences

WoS Q Değeri

Q3

Scopus Q Değeri

Q3

Cilt

42

Sayı

5

Künye