Turkish Journal of Mathematics
Article Title
DOI
10.3906/mat-2011-59
Abstract
A generalization of the well-known Lucas sequence is the $k$-Lucas sequence with some fixed integer $k \geq 2$. The first $k$ terms of this sequence are $0,\ldots,0,2,1$, and each term afterwards is the sum of the preceding $k$ terms. In this paper, we determine all repdigits, which are expressible as sums of two $k$-Lucas numbers. This work generalizes a prior result of Şiar and Keskin who dealt with the above problem for the particular case of Lucas numbers and a result of Bravo and Luca who searched for repdigits that are $k$-Lucas numbers.
First Page
1166
Last Page
1179
Recommended Citation
RAYAGURU, SAI GOPAL and BRAVO, JHON JAIRO
(2021)
"Repdigits as sums of two generalized Lucas numbers,"
Turkish Journal of Mathematics: Vol. 45:
No.
3, Article 6.
https://doi.org/10.3906/mat-2011-59
Available at:
https://journals.tubitak.gov.tr/math/vol45/iss3/6
