# Coincidence between Padovan and Narayana’s cow numbers

Abdelkader Hamtat– GJM, Volume 9, Issue 1 (2024), 60-67.

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- septembre 16, 2024
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In the present paper, we determine all Narayana’s cow numbers which are in the sequence of Padovan numbers. i.e, we solve completely the Diophantine equation P_{n}=C_{m} in non-negative integers n and m with n\geq{4} , where (P_{n})_{n\geq{0}} and (C_{n})_{n\geq{0}} represent the Padovan and Narayana’s cow sequences, respectively.

#### Milestones:

Received: November 21, 2023

Accepted: May 15, 2024

Revised: August 27, 2024

#### Authors:

__Abdelkader Hamtat__

Department of Mathematics, University center of Tipaza,

Tipaza, Algeria