A note on Gaussian and Quaternion Repunit Numbers

This work introduces two new sequences: the gaussian repunit numbers and the quaternion repunit numbers. We establish some properties of these sequences, as well as, recurrence relations, the Binet formula, and Catalan's, Cassini's, and d'Ocganes identities.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-12-27
DOI
https://doi.org/10.5281/zenodo.14563272
Citations
1
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.28
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article

A note on Gaussian and Quaternion Repunit Numbers

1 citations
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
0.28
article

A note on Gaussian and Quaternion Repunit Numbers

article en
1 citations

Abstract

This work introduces two new sequences: the gaussian repunit numbers and the quaternion repunit numbers. We establish some properties of these sequences, as well as, recurrence relations, the Binet formula, and Catalan's, Cassini's, and d'Ocganes identities.

Zenodo (CERN European Organization for Nuclear Research)
Universidade Federal do Tocantins (BR), Secretaria da Educação do Estado da Bahia (BR)
Reduced inequalities
Openalex Percentile: Top 40%
Advanced Mathematical Theories and Applications
0.28
DOIOpen Access PDFOpenAlex
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