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Tribonacci numbers that are concatenations of two repdigits.


ABSTRACT: Let (Tn)n?0 be the sequence of Tribonacci numbers defined by T0=0 , T1=T2=1 , and Tn+3=Tn+2+Tn+1+Tn 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.

SUBMITTER: Ddamulira M 

PROVIDER: S-EPMC7567737 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature

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Tribonacci numbers that are concatenations of two repdigits.

Ddamulira Mahadi M  

Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A, Matematicas 20200915 4


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. ...[more]

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