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.

Categories: 2024, Issue1

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

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