A note on hybrid hyper Leonardo numbers

Authors

ELEN VIVIANI PEREIRA SPREAFICOFollow
PAULA MARIA MACHADO CRUZ CATARINOFollow

DOI

10.55730/1300-0098.3525

Abstract

Recently, many studies have been devoted to extending particular sets of integers to other special sets, such as complex, dual, hyperbolic, and hybrid numbers. In this study, we define a new generalization of the Leonardo sequence consisting of the hybrid hyper-Leonardo numbers. This sequence of numbers is an extension of the hyper Leonardo numbers in the hybrid set. We investigate some algebraic properties of this sequence, the generating function, and the Binet formula related to this type of sequence.

Keywords

generating function, hybrid hyper Fibonacci sequence, hybrid hyper Leonardo sequence, hybrid Leonardo sequence, Leonardo sequence, the Binet formula

First Page

557

Last Page

566

Recommended Citation

SPREAFICO, ELEN VIVIANI PEREIRA and CATARINO, PAULA MARIA MACHADO CRUZ (2024) "A note on hybrid hyper Leonardo numbers," Turkish Journal of Mathematics: Vol. 48: No. 3, Article 14. https://doi.org/10.55730/1300-0098.3525
Available at: https://journals.tubitak.gov.tr/math/vol48/iss3/14