Repdigits as sums of three balancing numbers

Mahadi Ddamulira

Research output: Contribution to journalArticlepeer-review


Let {B n} n≥0 be the sequence of Balancing numbers defined by B 0 = 0, B 1 = 1, and B n+2 = 6B n+1 - B n for all n ≥ 0. In this paper, we find all repdigits in base 10 which can be written as a sum of three Balancing numbers.

Original languageEnglish
Pages (from-to)557-566
Number of pages10
JournalMathematica Slovaca
Issue number3
Early online date23 May 2020
Publication statusPublished - 1 Jun 2020


  • Balancing number
  • linear form in logarithms
  • reduction method
  • repdigit

ASJC Scopus subject areas

  • Algebra and Number Theory

Fields of Expertise

  • Information, Communication & Computing

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