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Padovan numbers that are concatenations of two repdigits

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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 repdigits.
Cambridge University Press (CUP)
Title: Padovan numbers that are concatenations of two repdigits
Description:
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 repdigits.

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