Greatest common divisors of shifted balancing numbers

It is well known that the successive balancing numbers are relatively prime. Let for all integers a, sn(a) denotes the greatest common divisor of the shifted balancing numbers of the form sn(a) = gcd(Bn 􀀀 a; Bn+1 􀀀 6a). In this study, we will show that fsn(1)g is unbounded whereas fsn(a)g is bounded...

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Bibliographic Details
Main Author: Prasanta Kumar Ray
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2017-10-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/26093