PADOVAN NUMBERS THAT ARE CONCATENATIONS OF TWO DISTINCT REPDIGITS

被引：21
|
作者：
Ddamulira, Mahadi [1 ,2 ,3 ]
机构：
[1] Graz Univ Technol, Inst Anal & Number Theory, Kopernikusgasse 24-2, A-8010 Graz, Austria
[2] Saarland Informat Campus, Max Planck Inst Software Syst, Campus E1 5, D-66123 Saarbrucken, Germany
[3] Makerere Univ, Dept Math, POB 7062, Kampala, Uganda
来源：
MATHEMATICA SLOVACA | 2021年 / 71卷 / 02期
基金：
奥地利科学基金会;
关键词：
Padovan number; repdigit; linear form in logarithms; reduction method;
D O I：
10.1515/ms-2017-0467
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (P-n)(n >= 0) be the sequence of Padovan numbers defined by P-0 = 0, P-1 = 1 = P-2, and Pn+3 = Pn+1 + P-n for all n >= 0. In this paper, we find all Padovan numbers that are concatenations of two distinct repdigits. (C) 2021 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码：275 / 284
页数：10
相关论文
共 50 条
  • [21] Generalized Lucas Numbers Which are Concatenations of Two Repdigits
    Eric F. Bravo
    Jhon J. Bravo
    Carlos A. Gómez
    [J]. Results in Mathematics, 2021, 76
  • [22] Padovan numbers that are concatenations of a Padovan number and a Perrin number
    Duman, Merve Guney
    [J]. PERIODICA MATHEMATICA HUNGARICA, 2024, 89 (01) : 139 - 154
  • [23] Repdigits as sums of three Padovan numbers
    Ddamulira, Mahadi
    [J]. BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (02): : 247 - 261
  • [24] FIBONACCI OR LUCAS NUMBERS THAT ARE CONCATENATIONS OF TWO g-REPDIGITS
    Adedji, Kouessi Norbert
    Filipin, Alan
    Rihane, Salah Eddine
    Togbe, Alain
    [J]. FIBONACCI QUARTERLY, 2023, 61 (01): : 68 - 83
  • [25] Repdigits as sums of three Padovan numbers
    Mahadi Ddamulira
    [J]. Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 247 - 261
  • [26] Palindromic Concatenations of Two Distinct Repdigits in Narayana's Cows Sequence
    Ddamulira, Mahadi
    Emong, Paul
    Mirumbe, Geoffrey Ismail
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2024, 50 (03)
  • [27] Lucas numbers which are concatenations of three repdigits
    Fatih Erduvan
    Refik Keskin
    [J]. Results in Mathematics, 2021, 76
  • [28] Repdigits as products of consecutive Padovan or Perrin numbers
    Rihane, Salah Eddine
    Togbe, Alain
    [J]. ARABIAN JOURNAL OF MATHEMATICS, 2021, 10 (02) : 469 - 480
  • [29] PELL AND PELL-LUCAS NUMBERS WHICH ARE CONCATENATIONS OF TWO REPDIGITS
    Duman, Merve Guney
    Erduvan, Fatih
    [J]. HONAM MATHEMATICAL JOURNAL, 2023, 45 (04): : 572 - 584
  • [30] k-GENERALIZED FIBONACCI NUMBERS WHICH ARE CONCATENATIONS OF TWO REPDIGITS
    Alahmadi, Adel
    Altassan, Alaa
    Luca, Florian
    Shoaib, Hatoon
    [J]. GLASNIK MATEMATICKI, 2021, 56 (01) : 29 - 46
12345