The Unifying Formula for all Tribonacci-type Octonions Sequences and Their Properties

Authors : Gamaliel CERDAMORALES

Pages : 292-299

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Publication Date : 2019-10-15

Article Type : Research Paper

Abstract :Various families of octonion number sequences insert ignore into journalissuearticles values(such as Fibonacci octonion, Pell octonion and Jacobsthal octonion); have been established by a number of authors in many different ways. In addition, formulas and identities involving these number sequences have been presented. In this paper, we aim to establishing new classes of octonion numbers associated with the generalized Tribonacci numbers. In this sense, we introduce the Tribonacci and generalized Tribonacci octonions insert ignore into journalissuearticles values(such as Narayana octonion, Padovan octonion and third-order Jacobsthal octonion); and give some of their properties. We derive the relations between generalized Tribonacci numbers and Tribonacci octonions.
Keywords : Tribonacci number, generalized Tribonacci number, Tribonacci octonion, generalized Tribonacci octonion