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A108193
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Numbers n such that n shares at least one digit with both the sum of its digits and the product of its digits.
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1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 19, 20, 30, 40, 50, 60, 70, 80, 90, 91, 100, 109, 118, 119, 127, 128, 129, 136, 137, 146, 155, 157, 159, 163, 164, 166, 168, 172, 173, 175, 181, 182, 186, 190, 191, 192, 195, 199, 200, 208, 217, 218, 219, 228
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Has A050278 as subsequence.
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EXAMPLE
| 238 shares the digit 3 with the sum of its digits (13) and shares the digit 8 with the product of its digits (48).
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MATHEMATICA
| Select[Range[0, 250], Length[Intersection[IntegerDigits[ # ], IntegerDigits[ Plus @@ IntegerDigits[ # ]]]] > 0 && Length[Intersection[IntegerDigits[ # ], IntegerDigits[Times @@ IntegerDigits[ # ]]]] > 0 &]
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CROSSREFS
| Cf. A050278.
Sequence in context: A075905 A119246 A108191 * A089583 A032865 A032889
Adjacent sequences: A108190 A108191 A108192 * A108194 A108195 A108196
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KEYWORD
| base,easy,nonn
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AUTHOR
| Eric Angelini (eric.angelini(AT)kntv.be), Jun 15 2005
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EXTENSIONS
| Edited and corrected by Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Jun 30 2007
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