Corpus ID: 212725756

Divisibility in generalized Fibonacci sequences

@article{Li2020DivisibilityIG,
  title={Divisibility in generalized Fibonacci sequences},
  author={Y. Li},
  journal={arXiv: Number Theory},
  year={2020}
}

• Y. Li
• Published 2020
• Mathematics
• arXiv: Number Theory

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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.