On a new type of distance Fibonacci numbers

被引:29
|
作者
Wloch, Iwona [1 ]
Bednarz, Urszula [1 ]
Brod, Dorota [1 ]
Wloch, Andrzej [1 ]
Wolowiec-Musial, Malgorzata [1 ]
机构
[1] Rzeszow Univ Technol, Fac Math & Appl Phys, PL-35359 Rzeszow, Poland
关键词
Generalized Fibonacci numbers; Cassini formula; Partition; Matchings; SEQUENCE; SETS;
D O I
10.1016/j.dam.2013.05.029
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we define a new kind of Fibonacci numbers generalized in the distance sense. This generalization is related to distance Fibonacci numbers and distance Lucas numbers, introduced quite recently. We also study distinct properties of these numbers for negative integers. Their representations and interpretations in graphs are also studied. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:2695 / 2701
页数:7
相关论文
共 50 条
  • [21] GCD of Sums of k Consecutive Fibonacci, Lucas, and Generalized Fibonacci Numbers
    Guyer, Dan
    Mbirika, aBa
    JOURNAL OF INTEGER SEQUENCES, 2021, 24 (09)
  • [22] NOTES ON GENERALIZED FIBONACCI NUMBERS AND MATRICES
    Ozdemir, Halim
    Karakaya, Sinan
    Petik, Tugba
    HONAM MATHEMATICAL JOURNAL, 2022, 44 (04): : 473 - 484
  • [23] GENERALIZED FIBONACCI NUMBERS WITH FIVE PARAMETERS
    Tasyurdu, Yasemin
    THERMAL SCIENCE, 2022, 26 : S495 - S505
  • [24] Identities on generalized Fibonacci and Lucas numbers
    Nagaraja, K. M.
    Dhanya, P.
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2020, 26 (03) : 189 - 202
  • [25] On Fibonacci numbers as sum of powers of two consecutive Tribonacci numbers
    Alessandra Kreutz
    Diego Marques
    Pavel Trojovský
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
  • [26] MERSENNE k-FIBONACCI NUMBERS
    Bravo, Jhon J.
    Gomez, Carlos A.
    GLASNIK MATEMATICKI, 2016, 51 (02) : 307 - 319
  • [27] ON THE DETERMINANTS OF PENTADIAGONAL MATRICES WITH THE CLASSICAL FIBONACCI, GENERALIZED FIBONACCI AND LUCAS NUMBERS
    Ipek, A.
    EURASIAN MATHEMATICAL JOURNAL, 2011, 2 (02): : 60 - 74
  • [28] Some identities for the generalized Fibonacci numbers and the generalized Lucas numbers
    Wloch, Andrzej
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (10) : 5564 - 5568
  • [29] 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
  • [30] Ranking of Fuzzy Numbers on the Basis of New Fuzzy Distance
    He, Wen
    Rodriguez, Rosa M. M.
    Takac, Zdenko
    Martinez, Luis
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2024, 26 (01) : 17 - 33