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Research Article Open access CC BY 4.0

On Generalized Bigollo Numbers

Yüksel Soykan, Inci Okumus, Nazmiye Gönül Bilgin

Asian Research Journal of Mathematics · pp. 72–88 · Published 2 Jun 2023

10.9734/arjom/2023/v19i8690

Abstract

It is aimed to describe generalized Bigollo sequences and to examine Bigollo and Bigollo-Lucas sequences in this article. For this purpose, we give Binet’s formulas, Simson formulas, generating functions and we introduce a lot of main features of these sequences. Also, we get some formulas and give special matrices for these generalized sequences. Finally, we have determined some close relationships between Bigollo and Bigollo-Lucas numbers and Mersenne, Mersenne-Lucas numbers.

Mersenne numbers bigollo numbers bigollo-lucas numbers mersenne-lucas numbers tribonacci numbers

Cited by 2

Generalized Horadam-Leonardo Numbers and Polynomials

Yüksel Soykan · Asian Journal of Advanced Research and Reports · 2023

An extended framework for bihyperbolic generalized Tribonacci numbers

Nurten Gürses, Zehra İşbilir · Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics · 2024

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