General terms of all almost balancing numbers of first and second type

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TEKCAN A., Erdem A.

Communications in Mathematics, vol.31, no.1, pp.155-167, 2023 (Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.46298/cm.10318
  • Journal Name: Communications in Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.155-167
  • Keywords: almost balancing number, Balancing number, Pell number
  • Bursa Uludag University Affiliated: Yes

Abstract

In this work, we determined the general terms of all almost balancing numbers of first and second type in terms of balancing numbers and conversely we determined the general terms of all balancing numbers in terms of all almost balancing numbers of first and second type. We also set a correspondence between all almost balancing numbers of first and second type and Pell numbers.