The Tribonacci sequence $\left \{T_{k}\right \}_{k\in {\mathbb Z}}$ is defined by $T_0=0,T_1=T_2=1$ and the recurrence $T_{k+3}=T_{k+2}+T_{k+1}+T_k$ for all $k\in {\mathbb Z}$. In 2016, Kuhapatanakul et al. made a conjecture concerning the positive intege