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

%I #5 Dec 05 2013 19:56:15

%S 0,0,222,0,0,0,666666,0,888888888,0,110,0,221,0,0,0,1666,0,1881,0,

%T 20202,1122,2222222222222222222222,2232,0,52,22626,2772,82882,0,

%U 333033,0,23232,0,0,0,3663,0,38883,0,444440,114114,24444,333344,0,4554,66646

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

%C 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.

%C 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

%Y Cf. A083959.

%K base,nonn

%O 1,3

%A _Amarnath Murthy_, May 20 2003

%E Corrected and extended by _David Wasserman_, Dec 03 2004