THE GENERATING MATRICES AND THE HYBRID NUMBERS OF NARAYANA

Authors

DOI:

https://doi.org/10.12957/cadmat.2022.65257

Keywords:

Matriz geradora, números híbridos, sequência de Narayana

Abstract

In this work, the generating matrices of the Narayana sequence of order $3\times 3$ and some inherent properties of these matrices will be investigated. However, by raising the $r$-th power of these matrices, some new relations of this sequence are studied, thus knowing their respective terms. Finally, a new numerical set is introduced, called Narayana hybrid numbers, studying its Binet formula, generating function and generating matrix.

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Published

2024-07-30

How to Cite

Mangueira, M. C. dos S., Vieira, R. P. M., Alves, F. R. V., & Catarino, P. M. M. C. (2024). THE GENERATING MATRICES AND THE HYBRID NUMBERS OF NARAYANA. Cadernos Do IME - Série Matemática, (18), 29–42. https://doi.org/10.12957/cadmat.2022.65257

Issue

No. 18 (2022)

Section

Notebook

License

Copyright (c) 2024 Milena Carolina dos Santos Mangueira, Renata Passos Machado Vieira, Francisco Regis Vieira Alves, Paula Maria Machado Cruz Catarino

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