Divisibility in generalized Fibonacci sequences

Yao-Qiang Li
2020 unpublished
We study the divisibility in generalized Fibonacci sequences (G n ) n≥0 defined by G 0 = 0, G 1 = 1 and G n = pG n−1 + qG n−2 for n ≥ 2, where p, q are given integers. As corollaries, we give some divisibility properties on some well known sequences.
doi:10.13140/rg.2.2.20312.85762 fatcat:wnzxfilpf5dt7hcfqe5vmplorq