Let  be the Narayana’s cows sequence and  the Tribonacci sequence. Then we study and completely solve the Diophantine equation  where m, n,  and  are positive integers with

Diophantine equations, Tribonacci sequence, Narayana’s cows sequence, linear forms in logarithms, reduction method, continued fractions

Received: December 23, 2024; Revised: March 5, 2025; Accepted: March 21, 2025; Published: April 23, 2025

How to cite this article: Salifou Nikiema and Sémou Diouf, Narayana’s cows and Tribonacci sequences in Pillai’s problem, JP Journal of Algebra, Number Theory and Applications 64(3) (2025), 307-327. https://doi.org/10.17654/0972555525017

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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