Explicit solution of system of two higher-order recurrences

László Németh; László Szalay

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arXiv · 2408.12196

Explicit solution of system of two higher-order recurrences

László Németh·László Szalay

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Abstract

We give a method to determine an explicit solution to a system of two inhomogeneous linear recursive sequences of higher order. Our approach can be used efficiently in solving certain combinatorial problems. We finish the paper by considering a tiling problem with black and white dominoes, and we use the method as a demonstration to find the solution.

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László Németh, László Szalay. 2024-08-22. Explicit solution of system of two higher-order recurrences. https://arxiv.org/abs/2408.12196

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