Search: id:A052062
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%I A052062
%S A052062 0,1,4,9,16,25,36,49,64,81,169,196,256,289,324,361,529,576,625,729,784,
%T A052062 841,961,1024,1089,1296,1369,1521,1681,1764,1849,1936,2304,2401,2601,
%U A052062 2704,2809,2916,3025,3249,3481,3721,4096,4356,4624,4761,5041,5184,5329
%N A052062 Squares containing no palindromic substring except single digits.
%C A052062 Leading zeros in substring allowed so 103^2 = 10609 is rejected because 
               1{060}9 contains a palindromic substring.
%C A052062 A comment in A052061 suggests that this sequence is infinite.
%H A052062 Charles R Greathouse IV, <a href="b052062.txt">Table of n, a(n) for n=0..10000</
               a>
%e A052062 E.g. 2304 (= 48^2) -> substrings 23, 30, 04, 230, 304 and 2304 are all 
               nonpalindromic.
%o A052062 noPalSub(n)={my(d);local(digit);digit=eval(Vec(Str(n)));d = #digit;for(len=2,
               d,for(i=1,d-len+1,if(isPalSub(i,len), return(0))));1};isPalSub(start,
               len)={my(b=start-1,e=start+len);for(j=1,len>>1,if(digit[b+j] != digit[e-j], 
               return(0)));1};n=0;for(n=0,1e4,if(noPalSub(n^2),print1(n^2", ")))
%Y A052062 Cf. A052061, A052063, A052064, A050749.
%Y A052062 Sequence in context: A016073 A115743 A014186 this_sequence A052046 A078255 
               A077356
%Y A052062 Adjacent sequences: A052059 A052060 A052061 this_sequence A052063 A052064 
               A052065
%K A052062 nonn,base
%O A052062 0,3
%A A052062 Patrick De Geest (pdg(AT)worldofnumbers.com), Jan 15 2000.
%E A052062 Program and b-file from Charles R Greathouse IV (charles.greathouse(AT)case.edu), 
               Sep 09 2009

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