A non-homogeneous conditional recurrence sequence (Formula presented.) is one in which the linear recurrence satisfied by (Formula presented.) depends on the residue of n modulo some integer (Formula presented.) and at least one of these linear recurrences is non-homogeneous. We describe a new linear algebraic method, using the successor operator and the annihilator matrix, to get a linear recurrence satisfied by the sequence.

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Keywords characteristic polynomials, determinants, Matrices, non-homogeneous conditional recurrences
Persistent URL dx.doi.org/10.1080/03081087.2017.1384445
Journal Linear and Multilinear Algebra
Panario, D, Sahin, M. (Murat), & Wang, Q. (2017). Non-homogeneous conditional recurrences. Linear and Multilinear Algebra, 1–11. doi:10.1080/03081087.2017.1384445