%I A003166 M3181
%S A003166 0,1,3,4523,11991,18197,141683,1092489,3168099,6435309,12489657,
%T A003166 17906499,68301841,295742437,390117873,542959199,4770504939,17360493407,
%U A003166 73798050723,101657343993,107137400475,202491428745,1615452642807
%N A003166 Numbers whose square in base 2 is a palindrome.
%D A003166 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A003166 G. J. Simmons, On palindromic squares of non-palindromic numbers, J. 
               Rec. Math., 5 (No,1, 1972), 11-19.
%H A003166 Jon E. Schoenfield, <a href="b003166.txt">Table of n, a(n) for n=1..31</
               a>
%H A003166 P. De Geest, <a href="http://www.worldofnumbers.com/square.htm">Palindromic 
               Squares</a>
%e A003166 3^2 = 9 = 1001 (base 2) = palindrome.
%t A003166 Do[c = RealDigits[n^2, 2][[1]]; If[c == Reverse[c], Print[n]], {n, 0, 
               10^9}]
%Y A003166 Cf. A029983.
%Y A003166 Sequence in context: A136544 A024048 A094319 this_sequence A034317 A056749 
               A134776
%Y A003166 Adjacent sequences: A003163 A003164 A003165 this_sequence A003167 A003168 
               A003169
%K A003166 base,nonn,hard,nice
%O A003166 1,3
%A A003166 N. J. A. Sloane (njas(AT)research.att.com), R. H. Hardin
%E A003166 a(16) = 4770504939 found by Patrick De Geest (pdg(AT)worldofnumbers.com), 
               May 15 1999.
%E A003166 Terms beyond a(16) from Jon E. Schoenfield (jonscho(AT)hiwaay.net), May 
               08 2009