A066139 Squares in every base >=3 (involving no carries and no digit apart from 0, 1 and 2).

0, 1, 100, 121, 10000, 10201, 12100, 1000000, 1002001, 1020100, 1022121, 1210000, 1212201, 100000000, 100020001, 100200100, 100220121, 102010000, 102212100, 121000000, 121022001, 121220100, 10000000000, 10000200001, 10002000100

Offset: 0

Author

Henry Bottomley, Dec 07 2001

Keywords

• base
• nonn

Comments

The reverse of every element in the list is also in the list.

Concatenated coefficients of polynomial squares where all coefficients in the square are 0, 1, or 2. - Franklin T. Adams-Watters, Mar 12 2006

Examples

			10100^2 = 102010000 is in the list but 10101^2 = 102030201 (if working in bases >=4) or = 102100201 (if working in base 3) is not.