Abstract
Let $\{P_n\_{n \ge 0}$ be the sequence of Padovan numbers defined by $P_0 = 0, P_1 = 1, P_2 = 1$, and $P_{n+3} = P_{n+1} + P_n$ for all $n \ge 0$. In this paper, we find all integers $c$ admitting at least two representations as a difference between a Padovan number and a power of $3$.
Original language | English |
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Pages (from-to) | 364–379 |
Journal | Studia Scientiarum Mathematicarum Hungarica |
Volume | 56 |
Issue number | 3 |
DOIs | |
Publication status | Published - 13 Oct 2019 |
Keywords
- Padovan number
- Linear forms in logarithms
- Baker's method
ASJC Scopus subject areas
- Algebra and Number Theory
Fields of Expertise
- Information, Communication & Computing