Geodesic
A note on Catalan's identity for the \(k\)-Fibonacci quaternions
Journal of integer sequences, Tome 18 (2015) no. 8
Ramírez recently conjectured a version of Catalan's identity for the $k$-Fibonacci quaternions. In this note we give a proof of (a suitably reformulated version of) this identity.
Keywords: k-Fibonacci quaternion, Catalan's identity 
@article{JIS_2015__18_8_a3,
     author = {Polatl{\i},  Emrah and Kesim,  Seyhun},
     title = {A note on {Catalan's} identity for the {\(k\)-Fibonacci} quaternions},
     journal = {Journal of integer sequences},
     year = {2015},
     volume = {18},
     number = {8},
     zbl = {1332.11022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2015__18_8_a3/}
}
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Polatlı,  Emrah; Kesim,  Seyhun. A note on Catalan's identity for the \(k\)-Fibonacci quaternions. Journal of integer sequences, Tome 18 (2015) no. 8. http://geodesic.mathdoc.fr/item/JIS_2015__18_8_a3/