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.
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/
@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/}
}