Tribonacci numbers that are concatenations of two repdigits

Mahadi Ddamulira

doi:10.1007/s13398-020-00933-0

Tribonacci numbers that are concatenations of two repdigits

Mahadi Ddamulira

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

Let (Tn)n≥0 be the sequence of Tribonacci numbers defined by T= 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.

Original language	English
Article number	203
Number of pages	10
Journal	Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales / Serie A, Matematicas
Volume	114
Issue number	4
DOIs	https://doi.org/10.1007/s13398-020-00933-0
Publication status	Published - 1 Oct 2020

Keywords

Tribonacci numbers
Repdigits
Linear forms in logarithms
Reduction method

ASJC Scopus subject areas

Algebra and Number Theory

Fields of Expertise

Information, Communication & Computing

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10.1007/s13398-020-00933-0Licence: CC BY 4.0

Cite this

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abstract = "Let (Tn)n≥0 be the sequence of Tribonacci numbers defined by T= 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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author = "Mahadi Ddamulira",

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N2 - Let (Tn)n≥0 be the sequence of Tribonacci numbers defined by T= 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.

AB - Let (Tn)n≥0 be the sequence of Tribonacci numbers defined by T= 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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KW - Repdigits

KW - Linear forms in logarithms

KW - Reduction method

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Tribonacci numbers that are concatenations of two repdigits

Abstract

Keywords

ASJC Scopus subject areas

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