Padovan numbers that are concatenations of two distinct repdigits

preprint2020arXivOpen access

Let $(P_{n})_{n\ge 0}$ be the sequence of Padovan numbers defined by $P_0=0$ , $P_1 =1=P_2$ , and $P_{n+3}= P_{n+1} +P_n$ for all $n\ge 0$ . In this paper, we find all Padovan numbers that are concatenations of two distinct repdigits.

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Padovan numbers that are concatenations of two distinct repdigits

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