# On the AB-generalized Fibonacci, Pell and Jacobsthal sequences by Hessenberg matrices

## Keywords:

Fibonacci sequence, Pell sequence, Jacobsthal sequence, generalized Fibonacci sequence, AB- generalized Fibonacci sequence## Abstract

In this paper, we introduce the second order linear recurrence relation of the *AB*-generalized Fibonacci sequence {*u _{n}*} and give the relationships between {

*u*} and Hessenberg permanents and determinants. Moreover, we also give representations of

_{n}*u*and

_{2n}*u*. These formulas generalize the one obtained earlier by Kiliç et al. in [9].

_{2n+1}## Downloads

## Published

2012-05-01

## How to Cite

*The Mindanawan Journal of Mathematics*,

*3*(1), 41–51. Retrieved from https://journals.msuiit.edu.ph/tmjm/article/view/29

## Issue

## Section

Articles