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A108194
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Numbers n such that the sum of the digits and the product of the digits have at least one common digit.
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0
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 22, 28, 29, 37, 39, 48, 49, 59, 68, 69, 73, 77, 78, 79, 82, 84, 86, 87, 88, 89, 92, 93, 94, 95, 96, 97, 98, 99, 109, 123, 127, 128, 129, 132, 136, 137, 138, 145, 147, 148, 154, 157, 158, 159, 163, 166, 167, 172
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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EXAMPLE
| 59 is in the sequence because 5+9=14 and 5*9=45 have the common digit 4.
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MATHEMATICA
| Select[Range[0, 240], Length[Intersection[IntegerDigits[Plus @@ IntegerDigits[ # ]], IntegerDigits[Times @@ IntegerDigits[ # ]]]] > 0 &]
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CROSSREFS
| Sequence in context: A083434 A037344 A062998 * A083158 A061013 A037264
Adjacent sequences: A108191 A108192 A108193 * A108195 A108196 A108197
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KEYWORD
| base,easy,nonn,less
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AUTHOR
| Eric Angelini (eric.angelini(AT)kntv.be), Jun 15 2005
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EXTENSIONS
| Edited, corrected and extended by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 11 2007
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