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

%I #5 Mar 31 2012 13:21:27

%S 0,1,100,121,10000,10201,12100,1000000,1002001,1020100,1022121,

%T 1210000,1212201,100000000,100020001,100200100,100220121,102010000,

%U 102212100,121000000,121022001,121220100,10000000000,10000200001,10002000100

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

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

%C Concatenated coefficients of polynomial squares where all coefficients in the square are 0, 1, or 2. - _Franklin T. Adams-Watters_, Mar 12 2006

%e 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.

%K base,nonn

%O 0,3

%A _Henry Bottomley_, Dec 07 2001