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arXiv · 2603.27426

Some properties of Padovan matrices and bi-periodic Padovan matrices

Diana Savin
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Abstract

Let $\left(P_{n}\right)_{n\geq0}$ be the sequence of bi-periodic Padovan numbers and let $\left(M_{p_{n}}\right)_{n\geq0}$ be the sequence of bi-periodic Padovan matrices. In this article we study when these matrices are diagonalizable and we obtain a certain connection with the Lucas number sequence. We also obtain some connections of these matrices with the generating matrix $Q$ for the Padovan numbers.

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Diana Savin. 2026-03-28. Some properties of Padovan matrices and bi-periodic Padovan matrices. https://arxiv.org/abs/2603.27426

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