In this note we consider the so-called bi-periodic Horadam sequences. Explicit formulas in terms of Chebyshev polynomials of the second kind and the determinant of some perturbed tridiagonal 2-Toeplitz matrices are established. Several illustrative examples are provided as well.
Keywords: Chebyshev polynomials of second kind; Determinant; Horadam sequence; Tridiagonal matrices.
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