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For n not divisible by 10 and using as many leading zeros as needed, smallest number whose inverse has only digits of n in its period.
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%I #4 Mar 31 2012 21:08:20

%S 9,45,3,225,18,15,142857,1125,11,909,825,76923,714285,66,61875,

%T 588235294117647,55,52631578947368421,47619,4545,

%U 434782608695652173913,4125,396,384615,37,3571425,344827586206896551724137931,32258064516129

%N For n not divisible by 10 and using as many leading zeros as needed, smallest number whose inverse has only digits of n in its period.

%e a(13)=76923 because 1/76923=.000013 000013 000013... and is the smallest number whose inverse contains only 13 in its period.

%K nonn,base

%O 1,1

%A _Jeff Burch_, Oct 19 2010