On the third-order Horadam matrix sequences

Gamaliel Cerda-Morales

On the third-order Horadam matrix sequences

Combinatorics 2019-01-01 v1

Authors: Gamaliel Cerda-Morales

Abstract

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

Keywords

integer sequences and recurrences

Cite

@article{arxiv.1812.11854,
  title  = {On the third-order Horadam matrix sequences},
  author = {Gamaliel Cerda-Morales},
  journal= {arXiv preprint arXiv:1812.11854},
  year   = {2019}
}

Comments

11 pages. arXiv admin note: text overlap with arXiv:1806.03709, arXiv:1812.11617

On the third-order Horadam matrix sequences

Abstract

Keywords

Cite

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