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

192, 219, 273, 327

Offset

0,1

References

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

Links

Table of n, a(n) for n=0..3.

P. De Geest, Nine digits digressions

Example

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

Mathematica

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

Crossrefs

Cf. A050289.

Sequence in context: A206335 A289219 A190892 * A273890 A344860 A045077

Adjacent sequences: A039664 A039665 A039666 * A039668 A039669 A039670

Keyword

nonn,base,fini,full

Author

Felice Russo

Extensions

Corrected by Patrick De Geest, Mar 15 2000

Better definition from Tanya Khovanova, Mar 08 2021

Status

approved