Perrin Octonions and Perrin Sedenions

Abstract

In this study, we introduce new classes of octonion and sedenion numbers associated with Perrin numbers. We define Perrin octonions and Perrin sedenions by using the Perrin numbers. We give some relationship between Perrin octonions, Perrin sedenions and Perrin numbers. Moreover we obtain the generating functions, Binet formulas and sums formulas of them.                                                                                                                                                                                                                                                                       

Keywords

• Perrin numbers
• Perrin octonions
• Perrin sedenions

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