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A generalization of the well–known Lucas sequence is the k–Lucas sequence with some fixed integer $$k\ge 2$$ . The first k terms of this sequence are $$0,\ldots ,0,2,1$$ , and… Click to show full abstract
A generalization of the well–known Lucas sequence is the k–Lucas sequence with some fixed integer $$k\ge 2$$ . 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 find all k–Lucas numbers that are concatenations of two repdigits. This generalizes a prior result which dealt with the above problem for the particular case of Lucas numbers.
Keywords:
generalized lucas;
concatenations two;
lucas numbers;
two repdigits;
numbers concatenations;
sequence
Journal Title: Results in Mathematics
Year Published: 2021
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Journal Title: Results in Mathematics
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!