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

0,3

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

Links

Table of n, a(n) for n=0..24.

Example

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.

Crossrefs

Sequence in context: A228103 A331543 A063009 * A109881 A292275 A295161

Adjacent sequences: A066136 A066137 A066138 * A066140 A066141 A066142

Keyword

base,nonn

Author

Henry Bottomley, Dec 07 2001

Status

approved