New Tribonacci Recurrence Relations and Addition Formulas

Kunle Adegoke, Adenike Olatinwo, Winning Oyekanmi

Only one three-term recurrence relation, namely, $W_r=2W_{r-1}-W_{r-4}$, is known for the generalized Tribonacci numbers, $W_r$, $r\in \mathbb{Z}$, defined by $W_{r}=W_{r-1}+W_{r-…