Preprint
Article
A New Generalization of Fibonacci and Lucas Type Sedenions
This version is not peer-reviewed.
Submitted:
06 March 2020
Posted:
08 March 2020
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Abstract
In this paper, by using the q-integer, we introduce a new generalization of Fibonacci and Lucas sedenions called q-Fibonacci and q-Lucas sedenions. We present some fundamental properties of these type of sedenions such as Binet formulas, exponential generating fuctions, summation formulas, Catalan's identity, Cassini's identity and d'Ocagne's identity.
Keywords:
Sedenion algebra
; Horadam number
; q-integer
; Binet-Like formula
; exponential generating function
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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