most citedOn Companion sequences associated with Leonardo quaternions: Applications over finite fields

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math.NT2026

On bi-periodic Padovan and Perrin quaternions over finite fields

Diana Savin, Elif Tan

In this paper, we investigate bi-periodic Padovan and bi-periodic Perrin quaternions in the quaternion algebra Q_Zp. We introduce the bi-periodic Perrin sequence and clarify its st…