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 |