A039667 Numbers k that together with their double and triple contain every digit from 1-9 exactly once.

192, 219, 273, 327

Offset: 0

Author

Felice Russo

Keywords

• nonn
• base
• fini
• full

Examples

			k=327 -> 2k=654 -> 3k=981 and 327654981 is a 'nine-digit' number.
		

References

• D. Wells, Curious and interesting numbers, Penguin Books, p. 128.

Links

• P. De Geest, Nine digits digressions

Crossrefs

Cf. A050289.

Programs

Mathematica

pdnQ[n_]:=Sort[Flatten[IntegerDigits[{n,2n,3n}]]]==Range[9]; Select[Range[987],pdnQ] (* Harvey P. Dale, Jul 07 2012 *)

Extensions

Corrected by Patrick De Geest, Mar 15 2000

Better definition from Tanya Khovanova, Mar 08 2021