A136835 Numbers k such that k and k^2 use only the digits 0, 1, 2, 8 and 9.

0, 1, 9, 10, 11, 90, 91, 99, 100, 101, 109, 110, 899, 900, 901, 910, 911, 990, 991, 999, 1000, 1001, 1009, 1010, 1011, 1090, 1091, 1100, 1101, 1109, 8989, 8990, 8999, 9000, 9001, 9010, 9011, 9100, 9101, 9110, 9900, 9901, 9909, 9910, 9990, 9991, 9999, 10000, 10001, 10009, 10010, 10011, 10090, 10091, 10099, 10100, 10109, 10110, 10900, 10910, 10991, 11000

Offset

1,3

Comments

Generated with DrScheme.

Links

Jonathan Wellons, Table of n, a(n) for n = 1..1240

J. Wellons, Tables of Shared Digits [archived]

Example

298180989^2 = 88911902201018121.

Mathematica

odQ[n_]:=Module[{c=Union[IntegerDigits[n^2]]}, And@@Table[MemberQ[{0, 1, 2, 8, 9}, c[[i]]], {i, Length[c]}]]; Select[FromDigits/@Tuples[{ 0, 1, 2, 8, 9}, 5], odQ] (* Harvey P. Dale, Nov 24 2013 *)

Crossrefs

Sequence in context: A048031 A048013 A048048 * A031166 A202706 A104627

Adjacent sequences: A136832 A136833 A136834 * A136836 A136837 A136838

Keyword

base,nonn

Author

Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008

Status

approved