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arXiv · 2504.10138

$k$-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits

Herbert Batte·Florian Luca
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Abstract

Let $k\ge 2$ and $\{F_n^{(k)}\}_{n\geq 2-k}$ be the sequence of $k$--generalized Fibonacci numbers whose first $k$ terms are $0,\ldots,0,0,1$ and each term afterwards is the sum of the preceding $k$ terms. In this paper, we determine all $k$-Fibonacci numbers that are palindromic concatenations of two distinct repdigits.

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BibTeXRIS

Herbert Batte, Florian Luca. 2025-04-14. $k$-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits. https://arxiv.org/abs/2504.10138

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