A239589 Numbers whose squares are cyclops numbers.

0, 105, 138, 145, 155, 179, 195, 205, 217, 226, 241, 243, 255, 257, 259, 274, 295, 305, 1054, 1068, 1082, 1091, 1114, 1127, 1136, 1158, 1162, 1175, 1192, 1196, 1221, 1229, 1233, 1237, 1261, 1269, 1273, 1277, 1281, 1308, 1323, 1327, 1338, 1364, 1375, 1386

Offset: 1

Author

Colin Barker, Mar 24 2014

Keywords

• nonn
• base

Examples

			138 is in the sequence because 138^2 = 19044, which is a cyclops number.
		

Links

• Colin Barker, Table of n, a(n) for n = 1..4000

Crossrefs

Cf. A000290, A134808, A160711, A239587, A239588, A239590, A239591.

Programs

PARI

is_cyclops(k) = {
  if(k==0, return(1));
  my(d=digits(k), j);
  if(#d%2==0 || d[#d\2+1]!=0, return(0));
  for(j=1, #d\2, if(d[j]==0, return(0)));
  for(j=#d\2+2, #d, if(d[j]==0, return(0)));
  return(1)}
s=[]; for(n=0, 2000, if(is_cyclops(n^2), s=concat(s, n))); s