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.14563273
Primary Topic
Effects of Radiation Exposure
Type
article
Field-Weighted Citation Impact
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article

A note on Gaussian and Quaternion Repunit Numbers

Zenodo (CERN European Organization for Nuclear Research)
Effects of Radiation Exposure
article

A note on Gaussian and Quaternion Repunit Numbers

article en

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)
Openalex Percentile: Top 49%
Effects of Radiation Exposure
DOIOpen Access PDFOpenAlex
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A note on Gaussian and Quaternion Repunit Numbers · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS