Abstract
Let (P_n)_{nge 0} be the sequence of Perrin numbers defined by ternary relation P_0=3 , P_1=0 , P_2=2 , and P_{n+3}=P_{n+1}+P_n for all nge 0 . In this paper, we use Baker’s theory for nonzero linear forms in logarithms of algebraic numbers and the reduction procedure involving the theory of continued fractions, to explicitly determine all Perrin numbers that are concatenations of two repeated digit numbers.
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