This paper explores the connection between tridiagonal matrices and the repunit sequence, which is a type of Horadam sequence, and aims to establish new representations of repunit sequences using distinct tridiagonal matrices and their determinants. Motivated by some work that relates tridiagonal matrices to second-order linear recurrences, we present another representation of the repunit sequence by tridiagonal matrices.
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Costa et al. (2025) studied this question.
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