ON SOME COMBINATORIAL IDENTITIES INVOLVING THE TERMS OF GENERALIZED FIBONACCI AND LUCAS SEQUENCES

被引：0
|
作者：
Akyuz, Zeynep [1 ]
Halici, Serpil [1 ]
机构：
[1] Sakarya Univ, Dept Math, Fac Arts & Sci, TR-54187 Sakarya, Turkey
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2013年 / 42卷 / 04期
关键词：
Second order linear recurrence; Horadam sequence; Generalized Fibonacci polynomials;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider the Horadam sequence and some summation formulas involving the terms of the Horadam sequence. We derive combinatorial identities by using the trace, the determinant, and the nth power of a special matrix.
引用
收藏
页码：431 / 435
页数：5
相关论文
共 50 条
  • [41] SOME IDENTITIES FOR SEQUENCES OF BINOMIAL SUMS OF GENERALIZED FIBONACCI NUMBERS
    Cook, Charles K.
    Komatsu, Takao
    [J]. FIBONACCI QUARTERLY, 2016, 54 (02): : 105 - 111
  • [42] Several identities involving the Fibonacci polynomials and Lucas polynomials
    Zhengang Wu
    Wenpeng Zhang
    [J]. Journal of Inequalities and Applications, 2013
  • [43] Several identities involving the Fibonacci polynomials and Lucas polynomials
    Wu, Zhengang
    Zhang, Wenpeng
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [44] Several identities involving the Fibonacci numbers and Lucas numbers
    Ma, Rong
    Zhang, Wenpeng
    [J]. FIBONACCI QUARTERLY, 2007, 45 (02): : 164 - 170
  • [45] THE LUCAS MATRIX AND SOME COMBINATORIAL IDENTITIES
    Zhang, Zhizheng
    Zhang, Yulan
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2007, 38 (05): : 457 - 465
  • [46] GENERALIZED FIBONACCI AND LUCAS SEQUENCES AND ROOTFINDING METHODS
    MUSKAT, JB
    [J]. MATHEMATICS OF COMPUTATION, 1993, 61 (203) : 365 - 372
  • [47] Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers
    Chen, Yulei
    Zhu, Yingming
    Guo, Dongwei
    [J]. AIMS MATHEMATICS, 2024, 9 (04): : 9348 - 9363
  • [48] Fibonacci-Lucas identities and the generalized Trudi formula
    Goy, Taras
    Shattuck, Mark
    [J]. NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2020, 26 (03) : 203 - 217
  • [49] Identities Involving Generalized Harmonic Numbers and Other Special Combinatorial Sequences
    Liang, Huyile
    Wuyungaowa
    [J]. JOURNAL OF INTEGER SEQUENCES, 2012, 15 (09)
  • [50] Identities for generalized Fibonacci numbers: a combinatorial approach
    Plaza, A.
    Falcon, S.
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2008, 39 (04) : 563 - 566
12345