Next Article in Journal
Shock Waves Asymmetry in a Symmetric Nozzle
Next Article in Special Issue
Some New Identities of Second Order Linear Recurrence Sequences
Previous Article in Journal
Fluctuating Asymmetry in Ground Beetles (Coleoptera, Carabidae) and Conditions of Its Manifestation
Previous Article in Special Issue
Signed Domination Number of the Directed Cylinder
Open AccessArticle

Identities Involving the Fourth-Order Linear Recurrence Sequence

by Lan Qi 1 and Zhuoyu Chen 2,*
1
School of Mathematics and Statistics, Yulin University, Yulin 719000, China
2
School of Mathematics, Northwest University, Xi’an 710127, China
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(12), 1476; https://doi.org/10.3390/sym11121476
Received: 13 November 2019 / Revised: 30 November 2019 / Accepted: 2 December 2019 / Published: 4 December 2019
In this paper, we introduce the fourth-order linear recurrence sequence and its generating function and obtain the exact coefficient expression of the power series expansion using elementary methods and symmetric properties of the summation processes. At the same time, we establish some relations involving Tetranacci numbers and give some interesting identities. View Full-Text
Keywords: four-order linear recurrence sequence; Tetranacci numbers; generating function; power series; identity four-order linear recurrence sequence; Tetranacci numbers; generating function; power series; identity
MDPI and ACS Style

Qi, L.; Chen, Z. Identities Involving the Fourth-Order Linear Recurrence Sequence. Symmetry 2019, 11, 1476.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop