The Generalization of Gaussians and Leonardo’s Octonions

In order to explore the Leonardo sequence, the process of complex-ification of this sequence is carried out in this work. With this, the Gaussian and octonion numbers of the Leonardo sequence are presented. Also, the recurrence, generating function, Binet’s formula, and matrix form of Leonardo’s Gau...

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Bibliographic Details
Main Authors: Vieira Renata Passos Machado, dos Santos Mangueira Milena Carolina, Alves Francisco Régis Vieira, Catarino Paula Maria Machado Cruz
Format: Article
Language:English
Published: Sciendo 2023-03-01
Series:Annales Mathematicae Silesianae
Subjects:
Online Access:https://doi.org/10.2478/amsil-2023-0004

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