A131573 Numbers whose square starts with 3 identical digits.
149, 298, 334, 472, 667, 745, 882, 1054, 1055, 1056, 1057, 1058, 1490, 1491, 1492, 1493, 1825, 1826, 1827, 2108, 2109, 2356, 2357, 2581, 2582, 2788, 2789, 2980, 2981, 3161, 3162, 3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343
Offset: 1
Examples
149^2 = 22201.
Programs
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Mathematica
Select[Range[10, 5000], Length[Union[Take[IntegerDigits[ #^2], 3]]] == 1 &]