A083959 Smallest multiple of n using all digits of (n-1) with the same frequency and no others; or 0 if no such number exists.

0, 0, 222, 0, 0, 0, 666666, 0, 888888888, 0, 1001, 0, 121212, 0, 0, 0, 666111, 0, 1881, 0, 202020, 1122, 2222222222222222222222, 233232, 0, 52, 222222226266666666, 2772, 228288, 0, 30300330, 0, 222222333333, 0, 0, 0, 3663, 0, 383838, 0, 4000004444

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.

Links

Table of n, a(n) for n=1..41.

Crossrefs

Cf. A083958.

Sequence in context: A013548 A300517 A083958 * A078212 A078251 A092625

Adjacent sequences: A083956 A083957 A083958 * A083960 A083961 A083962

Keyword

base,nonn

Author

Amarnath Murthy, May 20 2003

Extensions

More terms from David Wasserman, Dec 03 2004

Status

approved