Some properties of Fibonacci numbers, Fibonacci octonions and generalized Fibonacci-Lucas octonions

In this paper we determine some properties of Fibonacci octonions. Also, we introduce the generalized Fibonacci-Lucas octonions and we investigate some properties of these elements

Tribonacci and Tribonacci-Lucas Sedenions

The sedenions form a 16-dimensional Cayley-Dickson algebra. In this paper, we introduce the Tribonacci and Tribonacci-Lucas sedenions. Furthermore, we present some properties of these sedenions and derive relationships between them.Comment: 17 pages, 1 figur