On the Padovan sequence

2019/05/19 by Alain Faisant, Faisant, Alain
Computer Science · Mathematics · Physics and Astronomy · #11B50 #13A05 #20M13 #Advanced Mathematical Theories #Advanced Mathematical Theories and Applications #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1905.07702

openalex publication_date 2019/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this article is to give some properties of the so-called Padovan sequence (T_n)_{n ≥ 0} defined by T_n+3=T_n+1+T_n ∀ n ∈ ℕ, T₁=T₂=T₃=1 that is divisibility properties, periods, identities.

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