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Modular Tribonacci numbers by matrix method. (English) Zbl 1358.11027

Summary: In this work we study the Tribonacci numbers. We find a Tribonacci triangle which is an analog of Pascal’s triangle. We also investigate an efficient method to compute any \(n\)th Tribonacci number by matrix method, and find periods of the sequence by taking modular Tribonacci numbers.

MSC:

11B39 Fibonacci and Lucas numbers and polynomials and generalizations
11B65 Binomial coefficients; factorials; \(q\)-identities
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