A083958 Smallest multiple of n using all digits of (n-1) at least once and no others; or 0 if no such number exists.

0, 0, 222, 0, 0, 0, 666666, 0, 888888888, 0, 110, 0, 221, 0, 0, 0, 1666, 0, 1881, 0, 20202, 1122, 2222222222222222222222, 2232, 0, 52, 22626, 2772, 82882, 0, 333033, 0, 23232, 0, 0, 0, 3663, 0, 38883, 0, 444440, 114114, 24444, 333344, 0, 4554, 66646

Offset

1,3

Comments

If n contains all odd digits then a(n+1) = 0. If n+1 is not divisible by 5 and n contains an even digit then a(n+1) is nonzero. Infinitely many triples of successive zeros are there.

It's not clear whether or not a digit that occurs twice in n-1 is required to occur twice in a(n). The first time it matters is a(101), which is either 101 or 1010. - David Wasserman, Dec 03 2004

Links

Table of n, a(n) for n=1..47.

Crossrefs

Cf. A083959.

Sequence in context: A210135 A013548 A300517 * A083959 A078212 A078251

Adjacent sequences: A083955 A083956 A083957 * A083959 A083960 A083961

Keyword

base,nonn

Author

Amarnath Murthy, May 20 2003

Extensions

Corrected and extended by David Wasserman, Dec 03 2004

Status

approved