Bidimensional extensions of balancing and Lucas-balancing numbers

被引：5
|
作者：
Chimpanzo, J. [1 ]
Catarino, P. [2 ]
Vasco, P. [2 ]
Borges, A. [2 ]
机构：
[1] Higher Polytech Inst Soyo, Dept Exact Sci, Soyo, Zaire Angola, Angola
[2] Univ Tras os Montes & Alto Douro, Dept Math, P-5001801 Vila Real, Portugal
来源：
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2024年 / 27卷 / 01期
关键词：
Balancing numbers; Lucas-balancing numbers; Square triangular numbers; Bidimensional recurrence relations; PELL;
D O I：
10.47974/JDMSC-1574
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article bidimensional extensions of balancing and Lucas-balancing numbers are introduced, as well as some properties of these new bidimensional sequences.
引用
收藏
页码：95 / 115
页数：21
相关论文
共 50 条
  • [1] On Generating Matrices of the Bidimensional Balancing, Lucas-Balancing, Lucas-Cobalancing and Cobalancing Numbers
    Chimpanzo, J.
    Catarino, P.
    Otero-Espinar, M. V.
    JOURNAL OF MATHEMATICAL EXTENSION, 2024, 18 (04) : 1 - 20
  • [2] INCOMPLETE BALANCING AND LUCAS-BALANCING NUMBERS
    Patel, Bijan Kumar
    Irmak, Nurettin
    Ray, Prasanta Kumar
    MATHEMATICAL REPORTS, 2018, 20 (01): : 59 - 72
  • [3] Bidimensional balancing, Lucas-balancing, cobalancing and Lucas-cobalancing numbers via the determinant of a tridiagonal matrix
    Chimpanzo, J.
    Catarino, P.
    Otero-Espinar, M. V.
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2025,
  • [4] On arithmetic functions of balancing and Lucas-balancing numbers
    Dutta, Utkal Keshari
    Ray, Prasanta Kumar
    MATHEMATICAL COMMUNICATIONS, 2019, 24 (01) : 77 - 81
  • [5] Factoriangular numbers in balancing and Lucas-balancing sequence
    Rayaguru, Sai Gopal
    Odjoumani, Japhet
    Panda, Gopal Krishna
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (03): : 865 - 878
  • [6] Factoriangular numbers in balancing and Lucas-balancing sequence
    Sai Gopal Rayaguru
    Japhet Odjoumani
    Gopal Krishna Panda
    Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 865 - 878
  • [7] Certain Matrices Associated with Balancing and Lucas-balancing Numbers
    Ray, Prasanta Kumar
    MATEMATIKA, 2012, 28 (01) : 15 - 22
  • [8] On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers
    Choo, Younseok
    MATHEMATICS, 2021, 9 (04) : 1 - 10
  • [9] Factorizations of the Negatively Subscripted Balancing and Lucas-Balancing Numbers
    Ray, Prasanta Kumar
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2013, 31 (02): : 161 - 173
  • [10] ON DUAL BICOMPLEX BALANCING AND LUCAS-BALANCING NUMBERS
    Uysal, Mine
    Ozkan, Engin
    Shannon, Anthony G.
    JOURNAL OF SCIENCE AND ARTS, 2023, (04) : 925 - 938
12345