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Repdigits as sums of three balancing numbers

Authors
  • Ddamulira, Mahadi1
  • 1 Graz University of Technology, Kopernikusgasse 24/II, A-8010 , (Austria)
Type
Published Article
Journal
Mathematica Slovaca
Publisher
De Gruyter
Publication Date
May 23, 2020
Volume
70
Issue
3
Pages
557–566
Identifiers
DOI: 10.1515/ms-2017-0371
Source
De Gruyter
Keywords
License
Yellow

Abstract

Let {Bn}n≥0 be the sequence of Balancing numbers defined by B0 = 0, B1 = 1, and Bn+2 = 6Bn+1 − Bn 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.

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