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The tribonacci sequence extends Fibonacci by summing the previous three terms instead of two. Consecutive ratios converge to the tribonacci constant ≈ 1.8392868, the real root of x³ = x² + x + 1.
Tribonacci recurrence
T(n) = T(n−1) + T(n−2) + T(n−3), starting 0, 1, 1
0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, 274.
About 1.8392868, the analogue of the golden ratio for this three-term recurrence.