论文标题
$ k $ - 斐波那契数字，有两个块
$k$--Fibonacci numbers with two blocks of repdigits
论文作者
论文摘要
井（已知的斐波那契序列）的概括是$ k $ - 斐波那契序列，带有一些固定整数$ k \ ge 2 $。此序列的第一个$ k $项为$ 0，\ ldots，0,1 $，之后的每个项是前面$ k $项的总和。在本文中，我们找到了所有$ k $ - 斐波那契数字，这些数字是两个repdigits的串联。这概括了先前的结果，该结果涉及斐波那契和Tribonacci数字的特定情况。
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.
