On Quaternion Gaussian Bronze Fibonacci Numbers

Annales Mathematicae Silesianae

article

Paula Catarino¹  Sandra Ricardo¹ 

[1] Department of Mathematics University of Trás-os-Montes e Alto Douro Quinta de Prados 5001-801 Vila Real Portugal

关键词: Bronze Fibonacci numbers;    Gaussian Bronze Fibonacci numbers;    quaternions;    Generating function;    Binet’s formula;   

DOI  :  10.2478/amsil-2022-0013

学科分类：内科医学

来源: Walter de Gruyter GmbH

【 摘 要 】

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.

【 授权许可】

CC BY