A241145 Numbers n such that n and 9n share at least one digit.

5, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 32, 34, 35, 36, 37, 38, 39, 40, 43, 45, 46, 47, 48, 49, 50, 51, 54, 55, 56, 57, 58, 59, 60, 63, 64, 65, 67, 68, 69, 70, 73, 75, 76, 78, 79, 80, 82, 85, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 105, 109, 110, 112, 113

Offset: 1

Author

Robert G. Wilson v, Apr 16 2014

Keywords

• base
• easy
• nonn

Examples

			13 is in the sequence since 13 and 8*13 = 104 and together they share the digit 1.
		

Crossrefs

Cf. A129845, A129846, A129848, A241141, A241142, A241143, A241144, A241146.

Programs

Mathematica

fQ[n_] := Intersection[ IntegerDigits[ n], IntegerDigits[9 n]] != {}; Select[ Range[ 115], fQ]