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A129846
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Numbers n such that n and 3n share at least one digit.
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6
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5, 10, 13, 14, 15, 17, 20, 24, 25, 28, 30, 31, 35, 40, 41, 42, 45, 47, 48, 49, 50, 51, 52, 53, 55, 56, 57, 60, 61, 62, 65, 70, 71, 72, 75, 79, 80, 82, 85, 86, 90, 92, 93, 95, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 110, 113, 114, 115, 117, 120, 123, 124, 125
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listen;
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internal format)
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OFFSET
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1,1
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LINKS
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MAPLE
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a:=proc(n) if nops(convert(convert(n, base, 10), set) intersect convert(convert(3*n, base, 10), set))>0 then n else fi end: seq(a(n), n=1..145); # Emeric Deutsch, May 27 2007
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MATHEMATICA
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Select[Range[300], Length[Intersection[IntegerDigits[ # ], IntegerDigits[3*# ]]] > 0 &] (* Stefan Steinerberger, May 24 2007 *)
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CROSSREFS
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KEYWORD
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base,easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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