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A108194 Numbers n such that the sum of the digits and the product of the digits have at least one common digit. 0
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; text; internal format)
OFFSET
1,3
LINKS
EXAMPLE
59 is in the sequence because 5+9=14 and 5*9=45 have the common digit 4.
MATHEMATICA
Select[Range[0, 240], Length[Intersection[IntegerDigits[Plus @@ IntegerDigits[ # ]], IntegerDigits[Times @@ IntegerDigits[ # ]]]] > 0 &]
CROSSREFS
Sequence in context: A299690 A318276 A274126 * A083158 A254956 A061013
KEYWORD
base,easy,nonn,less
AUTHOR
Eric Angelini, Jun 15 2005
EXTENSIONS
Edited, corrected and extended by Stefan Steinerberger, Jun 11 2007
STATUS
approved

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Last modified April 20 22:14 EDT 2024. Contains 371848 sequences. (Running on oeis4.)