Work

The First Study of Mersenne--Leonardo Sequence

Year: 2025

Type: article

Abstract: In this study, we introduce a new class of numbers, referred to as Modified Mersenne--Leonardo numbers. The aim of this paper is to define the Modified Mersenne--Leonardo sequence and investigate some of its properties, including the recurrence relation, summation formula, and generating function. Additionally, classical identities such as the Tagiuri–Vajda, Catalan, Cassini, and d’Ocagne identities are derived for the Modified Mersenne--Leonardo numbers.

Source: Communications in Advanced Mathematical Sciences

DOI: 10.33434/cams.1598817

Authors: Eudes Antonio Costa, Paula Maria Machado Cruz Catarino

Institutions: Universidade Federal do Tocantins, University of Trás-os-Montes and Alto Douro

Language: English

Topic: Advanced Mathematical Theories and Applications

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4408071277

FWCI: 0.443

Cites: 17

Cited by: 1

Related to: 10