Multiplicatively dependent triples of Tribonacci numbers
Volume 171 / 2015
Acta Arithmetica 171 (2015), 327-353
MSC: 11B39, 11J86.
DOI: 10.4064/aa171-4-3
Abstract
We consider the Tribonacci sequence ${\bf T}:=\{T_n\}_{n\ge 0}$ given by $T_0 = 0$, $T_1=T_2=1$ and $T_{n+3}=T_{n+2}+T_{n+1}+T_n$ for all $n\ge 0$, and we find all triples of Tribonacci numbers which are multiplicatively dependent.
