Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3562
Keywords
Linear recurrence, vector recurrence, tiling, k -generalized Fibonacci number
First Page
1079
Last Page
1088
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
NÉMETH, L, & SZALAY, L (2024). Explicit solution of system of two higher-order recurrences. Turkish Journal of Mathematics 48 (6): 1079-1088. https://doi.org/10.55730/1300-0098.3562
