A108194 Numbers n such that the sum of the digits and the product of the digits have at least one common digit.

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

Offset

1,3

Links

Table of n, a(n) for n=1..58.

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

Adjacent sequences: A108191 A108192 A108193 * A108195 A108196 A108197

Keyword

base,easy,nonn,less

Author

Eric Angelini, Jun 15 2005

Extensions

Edited, corrected and extended by Stefan Steinerberger, Jun 11 2007

Status

approved