An exponential Diophantine equation related to the difference between\n powers of two consecutive Balancing numbers

2018/11/02 by Salah Eddine Rihane, Bernadette Faye, Rihane, Salah E. +5
Physics and Astronomy · Computer Science · Mathematics · #Advanced Mathematical Theories and Applications #Chaos-based Image/Signal Encryption #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1811.03015

Abstract

In this paper, we find all solutions of the exponential Diophantine equation\nB_n+1^x-B_n^x=B_m in positive integer variables (m, n, x), where B_k is\nthe k-th term of the Balancing sequence.\n

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