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A136835
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Numbers k such that k and k^2 use only the digits 0, 1, 2, 8 and 9.
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1
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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
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OFFSET
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1,3
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COMMENTS
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Generated with DrScheme.
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LINKS
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EXAMPLE
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298180989^2 = 88911902201018121.
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MATHEMATICA
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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 *)
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CROSSREFS
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KEYWORD
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base,nonn
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AUTHOR
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Jonathan Wellons (wellons(AT)gmail.com), Jan 22 2008
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STATUS
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approved
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