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Positive integers n such that when they are written in binary, the longest palindromic substring (or at least one of which that is tied for longest) in binary n begins and ends with a 1.
2

%I #7 Mar 11 2014 01:32:49

%S 1,2,3,5,6,7,9,10,11,12,13,14,15,17,18,19,20,21,23,25,26,27,28,29,30,

%T 31,33,34,35,37,38,39,40,41,42,43,45,47,49,50,51,52,53,54,55,56,57,58,

%U 59,60,61,62,63,65,66,67,68,69,70,71,73,75,77,79,81,83,84,85,86,87,89,90

%N Positive integers n such that when they are written in binary, the longest palindromic substring (or at least one of which that is tied for longest) in binary n begins and ends with a 1.

%Y Cf. A050430, A166936, A166938.

%K base,nonn

%O 1,2

%A _Leroy Quet_, Oct 24 2009

%E Extended by _Ray Chandler_, Mar 11 2010