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 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.