Repdigits as Sums of Four Fibonacci or Lucas Numbers

被引:0
|
作者
Normenyo, Benedict Vasco [1 ]
Luca, Florian [2 ,3 ]
Togbe, Alain [4 ]
机构
[1] Inst Math & Sci Phys, Dangbo, Benin
[2] Univ Witwatersrand, Sch Math, Private Bag X3, ZA-2050 Johannesburg, South Africa
[3] Univ Ostrava, Fac Sci, Dept Math, 30 Dubna 22, CZ-70103 Ostrava 1, Czech Republic
[4] Purdue Univ Northwest, Dept Math Stat & Comp Sci, 1401 S,US 421, Westville, IN 46391 USA
关键词
Fibonacci number; Lucas number; linear form;
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 determine all base-10 repdigits expressible as sums of four Fibonacci or Lucas numbers.
引用
收藏
页数:30
相关论文
共 50 条
  • [31] On the Reciprocal Sums of Products of Fibonacci and Lucas Numbers
    Choi, Ginkyu
    Choo, Younseok
    [J]. FILOMAT, 2018, 32 (08) : 2911 - 2920
  • [32] ALTERNATING SUMS OF THE POWERS OF FIBONACCI AND LUCAS NUMBERS
    Kilic, Emrah
    Omur, Nese
    Ulutas, Yucel Turker
    [J]. MISKOLC MATHEMATICAL NOTES, 2011, 12 (01) : 87 - 103
  • [33] Sums of products of generalized Fibonacci and Lucas numbers
    Kilic, E.
    Prodinger, H.
    [J]. ACTA MATHEMATICA HUNGARICA, 2015, 145 (01) : 17 - 25
  • [34] Sums of products of generalized Fibonacci and Lucas numbers
    E. Kilic
    H. Prodinger
    [J]. Acta Mathematica Hungarica, 2015, 145 : 17 - 25
  • [35] On factors of sums of consecutive Fibonacci and Lucas numbers
    Cerin, Zvonko
    [J]. ANNALES MATHEMATICAE ET INFORMATICAE, 2013, 41 : 19 - 25
  • [36] Representation of Integers as Sums of Fibonacci and Lucas Numbers
    Park, Ho
    Cho, Bumkyu
    Cho, Durkbin
    Cho, Yung Duk
    Park, Joonsang
    [J]. SYMMETRY-BASEL, 2020, 12 (10): : 1 - 8
  • [37] ON SUMS OF RECIPROCALS OF FIBONACCI AND LUCAS-NUMBERS
    JENNINGS, D
    [J]. FIBONACCI QUARTERLY, 1994, 32 (01): : 18 - 21
  • [38] Fibonacci or Lucas Numbers Which are Products of Two Repdigits in Base b
    Siar, Zafer
    Keskin, Refik
    Erduvan, Fatih
    [J]. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, 2021, 52 (04): : 1025 - 1040
  • [39] Fibonacci or Lucas Numbers Which are Products of Two Repdigits in Base b
    Zafer Şiar
    Refik Keskin
    Fatih Erduvan
    [J]. Bulletin of the Brazilian Mathematical Society, New Series, 2021, 52 : 1025 - 1040
  • [40] GCD of Sums of k Consecutive Fibonacci, Lucas, and Generalized Fibonacci Numbers
    Guyer, Dan
    Mbirika, aBa
    [J]. JOURNAL OF INTEGER SEQUENCES, 2021, 24 (09)