Abstract
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 language | English |
|---|---|
| Pages (from-to) | 557-566 |
| Number of pages | 10 |
| Journal | Mathematica Slovaca |
| Volume | 70 |
| Issue number | 3 |
| Early online date | 23 May 2020 |
| DOIs | |
| Publication status | Published - 1 Jun 2020 |
Keywords
- Balancing number
- linear form in logarithms
- reduction method
- repdigit
ASJC Scopus subject areas
- Algebra and Number Theory
Fields of Expertise
- Information, Communication & Computing