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 50 条
  • [21] Practical numbers among the binomial coefficients
    Leonetti, Paolo
    Sanna, Carlo
    JOURNAL OF NUMBER THEORY, 2020, 207 : 145 - 155
  • [22] On the properties of Lucas numbers with binomial coefficients
    Taskara, N.
    Uslu, K.
    Gulec, H. H.
    APPLIED MATHEMATICS LETTERS, 2010, 23 (01) : 68 - 72
  • [23] TABLES OF BINOMIAL COEFFICIENTS AND STERLING NUMBERS
    GOLDBERG, K
    LEIGHTON, FT
    NEWMAN, M
    ZUCKERMAN, SL
    JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS SECTION B-MATHEMATICAL SCIENCES, 1976, 80 (01): : 99 - 171
  • [24] Binomial Sum Relations Involving Fibonacci and Lucas Numbers
    Adegoke, Kunle
    Frontczak, Robert
    Goy, Taras
    APPLIEDMATH, 2023, 3 (04): : 851 - 881
  • [25] Harmonic numbers and double binomial coefficients
    Sofo, Anthony
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (11) : 847 - 857
  • [26] On Congruences with Binomial Coefficients and Harmonic Numbers
    Koparal, Sibel
    Elkhiri, Laid
    Omur, Nese
    FILOMAT, 2022, 36 (03) : 951 - 960
  • [27] Identities for the harmonic numbers and binomial coefficients
    Anthony Sofo
    H. M. Srivastava
    The Ramanujan Journal, 2011, 25 : 93 - 113
  • [28] Catalan triangle numbers and binomial coefficients
    Lee, Kyu-Hwan
    Oh, Se-jin
    REPRESENTATIONS OF LIE ALGEBRAS, QUANTUM GROUPS AND RELATED TOPICS, 2018, 713 : 165 - 185
  • [29] Higher-order Fibonacci numbers
    Randic, M
    Morales, DA
    Araujo, O
    JOURNAL OF MATHEMATICAL CHEMISTRY, 1996, 20 (1-2) : 79 - 94
  • [30] SOME IDENTITIES FOR SEQUENCES OF BINOMIAL SUMS OF GENERALIZED FIBONACCI NUMBERS
    Cook, Charles K.
    Komatsu, Takao
    FIBONACCI QUARTERLY, 2016, 54 (02): : 105 - 111
12345