Tribonacci Numbers and Some Related Interesting Identities

The main purpose of this paper is, by using elementary methods and symmetry properties of the summation procedures, to study the computational problem of a certain power series related to the Tribonacci numbers, and to give some interesting identities for these numbers.

Bibliographic Details
Main Authors: Shujie Zhou, Li Chen
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/11/10/1195
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author Shujie Zhou
Li Chen
author_facet Shujie Zhou
Li Chen
author_sort Shujie Zhou
collection DOAJ
description The main purpose of this paper is, by using elementary methods and symmetry properties of the summation procedures, to study the computational problem of a certain power series related to the Tribonacci numbers, and to give some interesting identities for these numbers.
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spelling doaj.art-20ff7804e719467cada5081e017926b52022-12-22T04:10:37ZengMDPI AGSymmetry2073-89942019-09-011110119510.3390/sym11101195sym11101195Tribonacci Numbers and Some Related Interesting IdentitiesShujie Zhou0Li Chen1School of Mathematics, Northwest University, Xi’an 710127, ChinaSchool of Mathematics, Northwest University, Xi’an 710127, ChinaThe main purpose of this paper is, by using elementary methods and symmetry properties of the summation procedures, to study the computational problem of a certain power series related to the Tribonacci numbers, and to give some interesting identities for these numbers.https://www.mdpi.com/2073-8994/11/10/1195the Tribonacci numbersthird-order linear recurrence sequenceconvolution formulapower seriesidentity
spellingShingle Shujie Zhou
Li Chen
Tribonacci Numbers and Some Related Interesting Identities
Symmetry
the Tribonacci numbers
third-order linear recurrence sequence
convolution formula
power series
identity
title Tribonacci Numbers and Some Related Interesting Identities
title_full Tribonacci Numbers and Some Related Interesting Identities
title_fullStr Tribonacci Numbers and Some Related Interesting Identities
title_full_unstemmed Tribonacci Numbers and Some Related Interesting Identities
title_short Tribonacci Numbers and Some Related Interesting Identities
title_sort tribonacci numbers and some related interesting identities
topic the Tribonacci numbers
third-order linear recurrence sequence
convolution formula
power series
identity
url https://www.mdpi.com/2073-8994/11/10/1195
work_keys_str_mv AT shujiezhou tribonaccinumbersandsomerelatedinterestingidentities
AT lichen tribonaccinumbersandsomerelatedinterestingidentities