Tribonacci numbers that are concatenations of two repdigits.
Mahadi DdamuliraPublished in: Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A, Matematicas (2020)
Let ( T n ) n ≥ 0 be the sequence of Tribonacci numbers defined by T 0 = 0 , T 1 = T 2 = 1 , and T n + 3 = T n + 2 + T n + 1 + T n for all n ≥ 0 . In this note, we use of lower bounds for linear forms in logarithms of algebraic numbers and the Baker-Davenport reduction procedure to find all Tribonacci numbers that are concatenations of two repdigits.
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