On Relationship Among a New Family of k-Fibonacci, k-Lucas Numbers, Fibonacci and Lucas Numbers

被引:0
|
作者
Ozkan, Engin [1 ]
Altun, Ipek [1 ]
Gocer, Ali Aykut [1 ]
机构
[1] Erzincan Univ, Fac Sci & Arts, Dept Math, TR-24000 Erzincan, Turkey
来源
CHIANG MAI JOURNAL OF SCIENCE | 2017年 / 44卷 / 04期
关键词
recurrance relation; Fibonacci numbers; generalized Fibonacci numbers; period; lucas numbers; GENERALIZED FIBONACCI; SEQUENCES;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We prove some theorems concerning a family of Fibonacci numbers defined in [11]. We give some relationship between the family of Fibonacci and Lucas numbers. Then we define a new family of k-Lucas numbers and prove some properties of it related to the Lucas numbers and the family of Lucas numbers.
引用
收藏
页码:1744 / 1750
页数:7
相关论文
共 50 条
  • [21] POWER SUMS OF FIBONACCI AND LUCAS NUMBERS
    Chu, Wenchang
    Li, Nadia N.
    QUAESTIONES MATHEMATICAE, 2011, 34 (01) : 75 - 83
  • [22] Repdigits as sums of two k-Fibonacci numbers
    Bravo, Jhon J.
    Luca, Florian
    MONATSHEFTE FUR MATHEMATIK, 2015, 176 (01): : 31 - 51
  • [23] On k-Fibonacci numbers of arithmetic indexes
    Falcon, Sergio
    Plaza, Angel
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 208 (01) : 180 - 185
  • [24] On generalized bicomplex k-Fibonacci numbers
    Yagmur, Tulay
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2019, 25 (04) : 123 - 133
  • [25] Distance Fibonacci numbers, distance Lucas numbers and their applications
    Brod, Dorota
    Piejko, Krzysztof
    Wloch, Iwona
    ARS COMBINATORIA, 2013, 112 : 397 - 409
  • [26] On generalized Pell numbers generated by Fibonacci and Lucas numbers
    Szynal-Liana, Anetta
    Wloch, Andrzej
    Wloch, Iwona
    ARS COMBINATORIA, 2014, 115 : 411 - 423
  • [27] k-Fibonacci numbers which are Padovan or Perrin numbers
    Salah Eddine Rihane
    Alain Togbé
    Indian Journal of Pure and Applied Mathematics, 2023, 54 : 568 - 582
  • [28] Sums of Pell/Lucas Polynomials and Fibonacci/Lucas Numbers
    Guo, Dongwei
    Chu, Wenchang
    MATHEMATICS, 2022, 10 (15)
  • [29] SOME PROPERTIES OF k-ORDER GAUSSIAN FIBONACCI AND LUCAS NUMBERS
    Gurel, Esref
    Asci, Mustafa
    ARS COMBINATORIA, 2017, 135 : 345 - 356
  • [30] On Fibonacci and Lucas Numbers of the Form cx(2)
    Keskin, Refik
    Yosma, Zafer
    JOURNAL OF INTEGER SEQUENCES, 2011, 14 (09)