Positive integer solutions of some Diophantine equations in terms of integer sequences

Abstract

In this paper, we define some new number sequences, which we represent as (B n ) , (b n ) , (y n ) and present relations of these new sequences with each other. Then, we give all positive integer solutions of some Diophantine equations in terms of these new sequences. © 2018, African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature.