On Quaternion Gaussian Bronze Fibonacci Numbers
and 
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Sandra Ricardo
Department of Mathematics, University of Trás-os-Montes e Alto DouroPortugal
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Sep 08, 2022
About this article
Published Online: Sep 08, 2022
Page range: 129 - 150
Received: Nov 18, 2021
Accepted: Jul 31, 2022
DOI: https://doi.org/10.2478/amsil-2022-0013
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© 2022 Paula Catarino et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet’s formula, generating function and certain properties and identities are provided. Tridiagonal matrices are considered to determine the general term of this sequence.