Some New Identities of Second Order Linear Recurrence Sequences

被引：5
|
作者：
Liu, Yanyan [1 ]
Lv, Xingxing [2 ]
机构：
[1] Xizang Minzu Univ, Sch Educ, Xianyang 712082, Peoples R China
[2] Northwest Univ, Sch Math, Xian 710127, Peoples R China
来源：
SYMMETRY-BASEL | 2019年 / 11卷 / 12期
关键词：
the second-order linear recurrence sequence; convolution sums; new identity; recurrence formula; FIBONACCI NUMBERS;
D O I：
10.3390/sym11121496
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
The main purpose of this paper is using the combinatorial method, the properties of the power series and characteristic roots to study the computational problem of the symmetric sums of a certain second-order linear recurrence sequences, and obtain some new and interesting identities. These results not only improve on some of the existing results, but are also simpler and more beautiful. Of course, these identities profoundly reveal the regularity of the second-order linear recursive sequence, which can greatly facilitate the calculation of the symmetric sums of the sequences in practice.
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收藏
页数：7
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