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A136901
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Numbers k such that k and k^2 use only the digits 0, 2, 4, 5 and 9.
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1
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0, 2, 5, 20, 45, 50, 95, 200, 205, 450, 495, 500, 502, 505, 950, 995, 2000, 2005, 2050, 2245, 4495, 4500, 4505, 4905, 4950, 4955, 4995, 5000, 5002, 5005, 5020, 5045, 5050, 5095, 9500, 9950, 9995, 20000, 20005, 20050, 20495, 20500, 20505, 22450, 44950, 44955, 44995, 45000, 45005, 45045, 45050, 49050, 49500, 49550, 49905, 49950, 49955, 49995, 50000
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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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542450205^2 = 294252224904542025.
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MATHEMATICA
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With[{c={0, 2, 4, 5, 9}}, Select[FromDigits/@Tuples[c, 5], SubsetQ[ c, IntegerDigits[ #^2]]&]] (* Harvey P. Dale, Jan 28 2019 *)
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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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