%I #13 May 10 2024 09:26:09
%S 1,11,96,1619,126969
%N Numbers k such that k and k^2 use only the digits 1, 2, 6 and 9.
%C Generated with DrScheme.
%C No additional terms through 9999999999. - _Harvey P. Dale_, Mar 31 2014
%H Jonathan Wellons, <a href="https://web.archive.org/web/20090206165028/http://jonathanwellons.com/shared-digits/">Tables of Shared Digits</a> [archived]
%e 126969^2 = 16121126961.
%t Flatten[Table[Select[FromDigits/@Tuples[{1,2,6,9},i],Total[ Table[ DigitCount[ #^2,10,n],{n,{3,4,5,7,8,0}}]]==0&],{i,10}]] (* _Harvey P. Dale_, Mar 31 2014 *)
%K base,nonn,more
%O 1,2
%A Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008