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Repdigits base η as sum or product of Perrin and Padovan numbers
AIMS Mathematics 2024, 9(8): 20173-20192
Published: 15 August 2024
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Let {En}n0 and {Pn}n0 be sequences of Perrin and Padovan numbers, respectively. We have found all repdigits that can be written as the sum or product of En and Pm in the base η, where 2η10 and mn. In addition, we have applied the theory of linear forms in logarithms of algebraic numbers and Baker-Davenport reduction method in Diophantine approximation approaches.

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