Abstract
In this paper, we show that 1, 3, 7 and 99 are the only associated Pell numbers which are repdigits whereas 17, 41 and 577 are those which are concatenation of two repdigits. As a consequence, we show that 17 and 577 are the only Lucas-balancing numbers which are concatenation of two repdigits.
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The authors wish to thank the anonymous referee for his careful reading and valuable comments in this article.
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Rayaguru, S.G., Panda, G.K. & Şiar, Z. Associated Pell numbers which are repdigits or concatenation of two repdigits. Bol. Soc. Mat. Mex. 27, 54 (2021). https://doi.org/10.1007/s40590-021-00360-0
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DOI: https://doi.org/10.1007/s40590-021-00360-0