Journal of Integer Sequences, Vol. 17 (2014), Article 14.3.8

Dickson Polynomials, Chebyshev Polynomials, and Some Conjectures of Jeffery

Stefano Barbero
Department of Mathematics
University of Turin
via Carlo Alberto 10
10123 Turin


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.

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(Concerned with sequences A000027 A005408 A016921 A114646 A114698 A185095 A186740 A198632 A198636.)

Received December 7 2013; revised version received January 25 2014. Published in Journal of Integer Sequences, February 16 2014. Corollary 3 and Proposition 4 corrected, May 21 2015.

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