Padovan, pell-padovan, perrin oktonyonları ve sedenyonları

In this study, Padovan, Pell-Padovan, Perrin octonions and sedenions are defined by using Padovan, Pell-Padovan and Perrin number sequences with octonions and sedenions. Sequences of these octonions and sedenions are created and the recurrence relations and properties of these sequences are obtained. Equations are presented that allow us to obtain the terms of the sequences of Padovan, Pell-Padovan, Perrin octonions and sedenions without creating the sequences. Matrix representations of Padovan, Pell-Padovan, Perrin octonions and sedenions are derived. In addition, generation functions, Binet formulas and sum formulas are given for these octonions and sedenions.