Abstract Let {Bn}n≥0 be the sequence of Balancing numbers defined by B0 = 0, B1 = 1, and Bn+2 = 6Bn+1 − Bn for all n ≥ 0. In this paper, we find all repdigits in base 10 which can be written as a sum of three Balancing numbers.

中文翻译：

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Repdigits 作为三个平衡数字的总和

摘要 令 {Bn}n≥0 为由 B0 = 0、B1 = 1 和 Bn+2 = 6Bn+1 − Bn 定义的平衡数序列，对于所有 n ≥ 0。在本文中，我们找到基数为10 可以写成三个平衡数之和。