Mathematica Slovaca, vol.73, no.4, pp.871-882, 2023 (SCI-Expanded)
Let k ≥ 2 be a fixed integer. The k-generalized Lucas sequence {Ln(k)}n≥0 starts with the positive integer initial values k, 1, 3, ⋯, 2k-1 - 1, and each term afterward is the sum of the k consecutive preceding elements. An integer n is said to be close to a positive integer m if n satisfies | n-m |