paper

Explicit solution of system of two higher-order recurrences

arXiv:2408.12196

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.

11 pages, 3 figures

Explicit solution of system of two higher-order recurrences · wovepaper