Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Horadam 2k-ions

Version 1 : Received: 27 June 2019 / Approved: 29 June 2019 / Online: 29 June 2019 (10:32:29 CEST)

How to cite: Göcen, M.; Soykan, Y. Horadam 2k-ions. Preprints 2019, 2019060303. Göcen, M.; Soykan, Y. Horadam 2k-ions. Preprints 2019, 2019060303.


In this paper, we generalize Fibonacci quaternion, octonion, sedenion, trigintaduonion, etc. and define Horadam 2^{k}-ions and investigate their properties. Each Horadam (such as Fibonacci, Lucas, Pell) quaternions, octonions and sedenions are Horadam 2^{k}-ions. We also present connection to some earlier works.


quaternions, octonions, sedenions, Horadam numbers, Fibonacci quaternion, Cayley-Dickson algebra


Computer Science and Mathematics, Algebra and Number Theory

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0

Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.