Title: On a generalized $k$-FL sequence and its applications,
Abstract: We introduce a generalized $k$-FL sequence and special kind of pairs of real
numbers that are related to it, and give an application on the integral
solutions of a certain equation using those pairs. Also, we associate skew
circulant and circulant matrices to each generalized $k$-FL sequence, and study
the determinantal variety of those matrices as an application.