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Horadam Octonions

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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.
Title: Horadam Octonions
Description:
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.

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