# Tribonacci to Infinity

Let $$T$$ be the nonnegative integer sequence defined by $T_0 = 0 \\ T_1 = 1 \\ T_2 = 1 \\ T_n = T_{n-1} + T_{n-2} +\ T_{n-3},\ n \geq 3$ Also let $Q = \lim_{n\to\infty}\frac{T_n}{T_{n-1}}$ Find the value of $Q^3 - Q^2 - Q$

×