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      Divisibility in generalized Fibonacci sequences

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          Abstract

          We study the divisibility in generalized Fibonacci sequences \((G_n)_{n\ge0}\) defined by \(G_0=0\), \(G_1=1\) and \(G_n=pG_{n-1}+qG_{n-2}\) for \(n\ge2\), where \(p,q\) are given integers. As corollaries, we give some divisibility properties on some well known sequences.

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          Author and article information

          Journal
          14 March 2020
          Article
          2003.06643

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          math.NT

          Number theory

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