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Journal Articles RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Year : 2020

Tribonacci numbers that are concatenations of two repdigits

Mahadi Ddamulira
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Abstract

Let $ (T_{n})_{n\ge 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\ge 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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hal-02547159 , version 1 (19-04-2020)
hal-02547159 , version 2 (04-09-2020)

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Mahadi Ddamulira. Tribonacci numbers that are concatenations of two repdigits. RACSAM. Real Academia de Ciencias. Serie A, Matemáticas - Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2020, 114 (4), ⟨10.1007/s13398-020-00933-0⟩. ⟨hal-02547159v2⟩
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