A generalization of the well–known Lucas sequence is the k -Lucas sequence with some fixed integer k ≥ 2 . The first k terms of this sequence are 0, .… Click to show full abstract
A generalization of the well–known Lucas sequence is the k -Lucas sequence with some fixed integer k ≥ 2 . The first k terms of this sequence are 0, . . . , 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.
Keywords:
generalized lucas;
sums two;
lucas;
repdigits sums;
two generalized;
lucas numbers
Journal Title: Turkish Journal of Mathematics
Year Published: 2021
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Journal Title: Turkish Journal of Mathematics
Year Published: 2021
Link to full text (if available)
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recommendations!