Geodesic
Greatest common divisors in shifted Fibonacci sequences
Journal of integer sequences, Tome 14 (2011) no. 4
It is well known that successive members of the Fibonacci sequence are relatively prime. Let
Classification : 11B39, 11A05
Keywords: Fibonacci numbers, Lucas numbers, generalized Fibonacci numbers 
@article{JIS_2011__14_4_a3,
     author = {Chen,  Kwang-Wu},
     title = {Greatest common divisors in shifted {Fibonacci} sequences},
     journal = {Journal of integer sequences},
     year = {2011},
     volume = {14},
     number = {4},
     zbl = {1229.11023},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_4_a3/}
}
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Chen,  Kwang-Wu. Greatest common divisors in shifted Fibonacci sequences. Journal of integer sequences, Tome 14 (2011) no. 4. http://geodesic.mathdoc.fr/item/JIS_2011__14_4_a3/