Pell and Pell-Lucas Numbers of the Form-2a-3b+5c

被引:3
|
作者
Qu, Yunyun [1 ,2 ]
Zeng, Jiwen [1 ]
机构
[1] Xiamen Univ, Sch Math Sci, 422 Siming South Rd, Xiamen 361005, Fujian, Peoples R China
[2] Guizhou Normal Univ, Sch Math Sci, 116 Baoshan North Rd, Guiyang 550001, Guizhou, Peoples R China
基金
中国国家自然科学基金;
关键词
Pell number; Pell-Lucas number; linear form in logarithms; continued fraction; reduction method; FIBONACCI; FORM;
D O I
10.21136/CMJ.2019.0265-18
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we find all Pell and Pell-Lucas numbers written in the form -2(a) - 3(b) + 5 (c), in nonnegative integers a, b, c, with 0 <= max{a, b} <= c.
引用
收藏
页码:281 / 289
页数:9
相关论文
共 50 条
  • [41] On Pell Quaternions and Pell-Lucas Quaternions
    Cimen, Cennet Bolat
    Ipek, Ahmet
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2016, 26 (01) : 39 - 51
  • [42] Split Pell and Pell-Lucas Quaternions
    Tokeser, Umit
    Unal, Zafer
    Bilgici, Goksal
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2017, 27 (02) : 1881 - 1893
  • [43] ON SOME INEQUALITIES AND HANKEL MATRICES INVOLVING PELL, PELL-LUCAS NUMBERS
    Halici, Serpil
    MATHEMATICAL REPORTS, 2013, 15 (01): : 1 - 10
  • [44] On hyper-dual vectors and angles with Pell, Pell-Lucas numbers
    Babadag, Faik
    Atasoy, Ali
    AIMS MATHEMATICS, 2024, 9 (11): : 30655 - 30666
  • [45] On generalized order-k modified Pell and Pell-Lucas numbers in terms of Fibonacci and Lucas numbers
    Dasdemir, Ahmet
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2020, 26 (02) : 205 - 212
  • [46] New Approach to Pell and Pell-Lucas Sequences
    Yagmur, Tulay
    KYUNGPOOK MATHEMATICAL JOURNAL, 2019, 59 (01): : 23 - 34
  • [47] On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers
    Turkmen, Ramazan
    Gokbas, Hasan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
  • [48] On the spectral norm of r-circulant matrices with the Pell and Pell-Lucas numbers
    Ramazan Türkmen
    Hasan Gökbaş
    Journal of Inequalities and Applications, 2016
  • [49] PELL-LUCAS CONGRUENCES
    BRUCKMAN, PS
    FIBONACCI QUARTERLY, 1993, 31 (02): : 183 - 184
  • [50] POWER SUMS OF PELL AND PELL-LUCAS POLYNOMIALS
    Chu, Wenchang
    Li, Nadia N.
    FIBONACCI QUARTERLY, 2011, 49 (02): : 139 - 150