A Relation Between Binomial Coefficients and Fibonacci Numbers to the Higher Power

被引:0
作者
Che, Yuhong [1 ]
机构
[1] Weinan Normal Univ, Weinan 714000, Shaanxi, Peoples R China
来源
PROCEEDINGS OF THE 2016 2ND INTERNATIONAL CONFERENCE ON MATERIALS ENGINEERING AND INFORMATION TECHNOLOGY APPLICATIONS (MEITA 2016) | 2017年 / 107卷
关键词
Binomial coefficient; Fibonacci numbers; Convolution;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we calculatate high power of Fibonacci numbers by elementary mathematical methods and prove an interesting identity between the binomial coefficients and the high power of Fibonacci numbers.
引用
收藏
页码:281 / 284
页数:4
相关论文
共 46 条
  • [21] Connections between Fibonacci and Pell numbers
    Merca, Mircea
    [J]. NOTE DI MATEMATICA, 2020, 40 (02): : 53 - 61
  • [22] TILINGS OF A HONEYCOMB STRIP AND HIGHER ORDER FIBONACCI NUMBERS
    Doslic, Tomislav
    Podrug, Luka
    [J]. CONTRIBUTIONS TO DISCRETE MATHEMATICS, 2024, 19 (02) : 56 - 81
  • [23] Trinomial coefficients, Fibonacci numbers and units of the group U(ZCp)
    Kitani, Patricia Massae
    Sano, Mari
    [J]. DISCRETE MATHEMATICS, 2021, 344 (07)
  • [24] Evaluations of sums involving odd harmonic numbers and binomial coefficients
    Zheng, W.
    Yang, Y.
    [J]. ANALYSIS MATHEMATICA, 2024, 50 (01) : 1 - 30
  • [25] Combinatorial Interpretations of Lucas Analogues of Binomial Coefficients and Catalan Numbers
    Bennett, Curtis
    Carrillo, Juan
    Machacek, John
    Sagan, Bruce E.
    [J]. ANNALS OF COMBINATORICS, 2020, 24 (03) : 503 - 530
  • [26] Combinatorial Interpretations of Lucas Analogues of Binomial Coefficients and Catalan Numbers
    Curtis Bennett
    Juan Carrillo
    John Machacek
    Bruce E. Sagan
    [J]. Annals of Combinatorics, 2020, 24 : 503 - 530
  • [27] Evaluations of sums involving odd harmonic numbers and binomial coefficients
    W. Zheng
    Y. Yang
    [J]. Analysis Mathematica, 2024, 50 : 323 - 334
  • [28] On congruences related to central binomial coefficients, harmonic and Lucas numbers
    Koparal, Sibel
    Omur, Nese
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (05) : 973 - 985
  • [29] Supercongruences involving Apery-like numbers and binomial coefficients
    Sun, Zhi-Hong
    [J]. AIMS MATHEMATICS, 2022, 7 (02): : 2729 - 2781
  • [30] LINK BETWEEN HOSOYA INDEX AND FIBONACCI NUMBERS
    Belbachir, Hacene
    Harik, Hakim
    [J]. MISKOLC MATHEMATICAL NOTES, 2018, 19 (02) : 741 - 748