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

页码：275 / 284

页数：10

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