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Repdigits as products of consecutive Padovan or Perrin numbers
Arabian Journal of Mathematics ( IF 0.9 ) Pub Date : 2021-03-28 , DOI: 10.1007/s40065-021-00317-1
Salah Eddine Rihane , Alain Togbé

A repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., a number of the form \(a(10^m-1)/9\), for some \(m\ge 1\) and \(1 \le a \le 9\). Let \(\left( P_n\right) _{n\ge 0}\) and \(\left( E_n\right) _{n\ge 0}\) be the sequence of Padovan and Perrin numbers, respectively. This paper deals with repdigits that can be written as the products of consecutive Padovan or/and Perrin numbers.



中文翻译:

Repdigits是连续的Padovan或Perrin编号的乘积

repdigit是一个正整数,在其十进制扩展中只有一个不同的数字,即,对于某些\(m \ ge 1 \)\(a(10 ^ m-1)/ 9 \)形式的数字\(1 \ le \ le 9 \)。令\(\ left(P_n \ right)_ {n \ ge 0} \)\(\ left(E_n \ right)_ {n \ ge 0} \)分别是Padovan和Perrin数的序列。本文介绍了可以作为连续的Padovan或/和Perrin编号的乘积写入的重复数字。

更新日期:2021-03-29
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