Some properties of Padovan matrices and bi-periodic Padovan matrices
Abstract
Let (Pn)n≥0 be the sequence of bi-periodic Padovan numbers and let (Mpn)n≥0 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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