Tribonacci and Tribonacci-Lucas Sedenions
Y\"uksel Soykan
TL;DR
This paper introduces Tribonacci and Tribonacci-Lucas sedenions within the 16-dimensional Cayley-Dickson algebra, exploring their properties and relationships to expand understanding of these mathematical structures.
Contribution
It presents the first definitions and properties of Tribonacci and Tribonacci-Lucas sedenions, extending the study of special sequences in high-dimensional algebras.
Findings
Defined Tribonacci and Tribonacci-Lucas sedenions
Derived properties and relationships between these sedenions
Enhanced understanding of algebraic structures in Cayley-Dickson algebras
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.