|Journal of Integer Sequences, Vol. 18 (2015), Article 15.3.5|
Bertrand Meyer and Patrick Solé
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In this paper, we use polynomial pairs in constructing and in studying the properties of palindromic pairs. It is shown that polynomial pairs are always palindromic. It is further conjectured that, provided that neither A nor B is itself a palindrome, all palindromic pairs are polynomial. A connection is made with classical topics in recreational mathematics such as reversal multiplication, palindromic squares, and repunits.
(Concerned with sequences
Received October 29 2012; revised version received August 5 2014; February 14 2015. Published in Journal of Integer Sequences, February 14 2015.