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
收藏
页码：53 / 61
页数：9
相关论文
共 50 条
  • [1] On the connections between Pell numbers and Fibonacci p-numbers
    Shannon, Anthony G.
    Erdag, Ozgur
    Deveci, Omur
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (01) : 148 - 160
  • [2] On distance Pell numbers and their connections with Fibonacci numbers
    Szynal-Liana, Anetta
    Wloch, Iwona
    ARS COMBINATORIA, 2014, 113A : 65 - 75
  • [3] On the connections among Fibonacci, Pell, Jacobsthal and Padovan numbers
    Deveci, Omur
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2021, 27 (02) : 111 - 128
  • [4] Pell numbers close to Fibonacci numbers
    Pomeo, Fabian
    Bravo, Jhon J.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024,
  • [5] Fibonacci numbers which are products of three Pell numbers and Pell numbers which are products of three Fibonacci numbers
    Salah Eddine Rihane
    Youssouf Akrour
    Abdelaziz El Habibi
    Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 895 - 910
  • [6] Pell numbers and Fibonacci polynomials
    Seiffert, H. -J.
    Bruckman, Paul S.
    FIBONACCI QUARTERLY, 2006, 44 (02): : 189 - 191
  • [7] Fibonacci numbers which are products of three Pell numbers and Pell numbers which are products of three Fibonacci numbers
    Rihane, Salah Eddine
    Akrour, Youssouf
    El Habibi, Abdelaziz
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (03): : 895 - 910
  • [8] ON ORESME NUMBERS AND THEIR CONNECTION WITH FIBONACCI AND PELL NUMBERS
    Goy, Taras
    Zatorsky, Roman
    FIBONACCI QUARTERLY, 2019, 57 (03): : 238 - 245
  • [9] FIBONACCI NUMBERS IN GENERALIZED PELL SEQUENCES
    Bravo, Jhon J.
    Herrera, Jose L.
    MATHEMATICA SLOVACA, 2020, 70 (05) : 1057 - 1068
  • [10] Generalized Pell numbers and some relations with Fibonacci numbers
    Wloch, Andrzej
    Wolowiec-Musial, Malgorzata
    ARS COMBINATORIA, 2013, 109 : 391 - 403
12345