Hybrid Numbers with Hybrid Leonardo Number Coefficients

Authors

  • Elen Viviani Pereira Spreafico Federal University of Mato Grosso do Sul
  • Eudes Antonio Costa Federal University of Tocantins-UFT
  • Paula Maria Machado Cruz Catarino University of Trás-os-Montes e Alto Douro-UTAD

DOI:

https://doi.org/10.30495/jme.v18i0.2917

Keywords:

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

Abstract

In this study we define a new generalization of the hybrid Leonardo sequence consisting of the hybrid numbers with hybrid Leonardo numbers coefficients. We investigate some algebraic properties of this new sequence and also the generating function, exponential generating function and the Binet formula related with this type of sequences. In addition, some identities are provided as Cassini's identity and sums related.

Author Biography

Elen Viviani Pereira Spreafico, Federal University of Mato Grosso do Sul

Institute of Mathematics

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Published

2024-07-01

Issue

Vol. 18

Section

Vol. 18, No. 2, (2024)

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