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A136935
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Numbers k such that k and k^2 use only the digits 0, 3, 4, 8 and 9.
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1
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0, 3, 30, 300, 3000, 30000, 89938, 300000, 308043, 899380, 899938, 939938, 940393, 940398, 943043, 943898, 3000000, 3080430, 8993333, 8993800, 8993933, 8999083, 8999380, 8999938, 9399380, 9403930, 9403980, 9430430, 9438980, 30000000, 30080393, 30080398, 30803903, 30804300, 89908003, 89933330, 89933333, 89938000, 89939330, 89990830
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OFFSET
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1,2
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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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944989094848903^2 = 893004389383348990448400303409.
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MATHEMATICA
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With[{c={0, 3, 4, 8, 9}}, Select[FromDigits/@Tuples[c, 8], SubsetQ[ c, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Jul 14 2018 *)
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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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