Geodesic
Dickson polynomials, Chebyshev polynomials, and some conjectures of Jeffery
Journal of integer sequences, Tome 17 (2014) no. 3
By using Dickson polynomials in several variables and Chebyshev polynomials of the second kind, we derive the explicit expression of the entries in the array defining the sequence A185095. As a result, we obtain a straightforward proof of some conjectures of Jeffery concerning this sequence and other related ones.
Classification : 11C08, 11B83
Keywords: dickson polynomial, Chebyshev polynomial 
@article{JIS_2014__17_3_a0,
     author = {Barbero,  Stefano},
     title = {Dickson polynomials, {Chebyshev} polynomials, and some conjectures of {Jeffery}},
     journal = {Journal of integer sequences},
     year = {2014},
     volume = {17},
     number = {3},
     zbl = {1353.11055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_3_a0/}
}
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Barbero,  Stefano. Dickson polynomials, Chebyshev polynomials, and some conjectures of Jeffery. Journal of integer sequences, Tome 17 (2014) no. 3. http://geodesic.mathdoc.fr/item/JIS_2014__17_3_a0/