Pillai's Problem Involving Narayana's Cows Sequence and Padovan Sequence

Salifou Nikiema and S´emou Diouf

Journal of Mathematics Research, 2025, vol. 17, issue 1, 40

Abstract: Let $\left(N_n\right)_{n\ge0}$ be the Narayana's cows sequence and $\left(P_n\right)_{n\ge0}$ the Padovan sequence, the aims in this paper is to study and completely solve the exponential Diophantine equation $N_m - P_n = N_{m_1}-N_{n_1}$ where $m, n, m_1$ and $n_1$ are positive integers with $(m, n)\neq (m_1, n_1)$.

Date: 2025
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