Narayana numbers as product of three repdigits in base $g

In this paper, we show that there are only finitely many Narayana's numbers which can be written as product of three repdigits in base $g$ with $g \geq 2$. Moreover, for $2 \leq g \leq 10$, we determine all these numbers.

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Hauptverfasser: Tiebekabe, Pagdame, Kakanou, K. R, Yakkou, H. Ben
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we show that there are only finitely many Narayana's numbers which can be written as product of three repdigits in base $g$ with $g \geq 2$. Moreover, for $2 \leq g \leq 10$, we determine all these numbers.
DOI:10.48550/arxiv.2307.06386