Tribonacci numbers that are concatenations of two repdigits

Mahadi Ddamulira

Research output: Contribution to journalArticle

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 languageEnglish
Article number203
Number of pages10
JournalRevista de la Real Academia de Ciencias Exactas, Fisicas y Naturales / Serie A, Matematicas
Volume114
Issue number4
DOIs
Publication statusPublished - 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

Fingerprint Dive into the research topics of 'Tribonacci numbers that are concatenations of two repdigits'. Together they form a unique fingerprint.

Cite this