On the third-order Horadam matrix sequences

2018/12/26 by Cerda-Morales, Gamaliel
#11B37 #11B39 #15A15 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1812.11854

Abstract

In this paper, we first give new generalizations for third-order Horadam \H_n⁽³⁾\_{n∈ ℕ} and generalized Tribonacci \h_n⁽³⁾\_{n∈ ℕ} sequences for classic Horadam and generalized Fibonacci numbers. Considering these sequences, we define the matrix sequences which have elements of \H_n⁽³⁾\_{n∈ ℕ} and \h_n⁽³⁾\_{n∈ ℕ}. Then we investigate their properties.

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