Horadam Octonions

Abstract

In this paper, first we define Horadam octonions by Horadam sequence which is a generalization of second order recurrence relations. Also, we give some fundamental properties involving the elements of that sequence. Then, we obtain their Binet-like formula, ordinary generating function and Cassini identity.

Keywords

• fibonacci numbers and generalization
• octonions
• 11b39
• 17a20