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arXiv · 2008.09698

$k$--Fibonacci numbers with two blocks of repdigits

Eric F. Bravo·Jhon J. Bravo·Carlos A. Gómez
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Abstract

A generalization of the well--known Fibonacci sequence is the $k$--Fibonacci sequence with some fixed integer $k\ge 2$. The first $k$ terms of this sequence are $0,\ldots,0,1$, and each term afterwards is the sum of the preceding $k$ terms. In this paper, we find all $k$--Fibonacci numbers that are concatenations of two repdigits. This generalizes prior results which dealt with the above problem for the particular cases of Fibonacci and Tribonacci numbers.

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BibTeXRIS

Eric F. Bravo, Jhon J. Bravo, Carlos A. Gómez. 2020-08-21. $k$--Fibonacci numbers with two blocks of repdigits. https://arxiv.org/abs/2008.09698

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