Connections between Fibonacci and Pell numbers

被引:0
|
作者
Merca, Mircea [1 ,2 ]
机构
[1] Univ Craiova, Dept Math, Craiova 200585, Romania
[2] Acad Romanian Scientist, Ilfov 3,Sect 5, Bucharest, Romania
来源
NOTE DI MATEMATICA | 2020年 / 40卷 / 02期
关键词
Fibonacci numbers; Pell numbers; congruences;
D O I
10.1285/i15900932v40n2p53
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce several convolution identities that combine Fibonacci and Pell numbers. Congruence relations involving Fibonacci and Pell numbers follow as corollaries.
引用
下载
收藏
页码:53 / 61
页数:9
相关论文
共 50 条
  • [41] On circulant like matrices properties involving Horadam, Fibonacci, Jacobsthal and Pell numbers
    Andrade, Enide
    Carrasco-Olivera, Dante
    Manzaneda, Cristina
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 617 (617) : 100 - 120
  • [42] FIBONACCI-PELL CONGRUENCES
    CORRELL, B
    FIBONACCI QUARTERLY, 1995, 33 (02): : 185 - 186
  • [43] Fibonacci-Pell hybridities
    Koshy, Thomas
    Gao, Zhenguang
    INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2012, 43 (06) : 779 - 783
  • [44] On the x-coordinates of Pell equations which are k-generalized Fibonacci numbers
    Ddamulira, Mahadi
    Luca, Florian
    JOURNAL OF NUMBER THEORY, 2020, 207 : 156 - 195
  • [45] On Generalized Pell and Pell–Lucas Numbers
    Lucyna Trojnar-Spelina
    Iwona Włoch
    Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 2871 - 2877
  • [46] A connection between Fibonacci numbers and generalized pentagonal numbers
    Merca, Mircea
    ARS COMBINATORIA, 2020, 153 : 177 - 186
  • [47] Pell numbers, Pell-Lucas numbers and modular group
    Mushtaq, Q.
    Hayat, U.
    ALGEBRA COLLOQUIUM, 2007, 14 (01) : 97 - 102
  • [48] ON THE DISTANCE BETWEEN GENERALIZED FIBONACCI NUMBERS
    Bravo, Jhon J.
    Gomez, Carlos A.
    Luca, Florian
    COLLOQUIUM MATHEMATICUM, 2015, 140 (01) : 107 - 118
  • [49] ON THE RELATION BETWEEN FIBONACCI AND LUCAS NUMBERS
    Dafnis, Spiros D.
    FIBONACCI QUARTERLY, 2020, 58 (05): : 111 - 114
  • [50] Unifying some Pell and Fibonacci identities
    da Fonseca, Carlos M.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 236 : 41 - 42