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A181431
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.
1
9, 45, 3, 225, 18, 15, 142857, 1125, 11, 909, 825, 76923, 714285, 66, 61875, 588235294117647, 55, 52631578947368421, 47619, 4545, 434782608695652173913, 4125, 396, 384615, 37, 3571425, 344827586206896551724137931, 32258064516129
OFFSET
1,1
EXAMPLE
a(13)=76923 because 1/76923=.000013 000013 000013... and is the smallest number whose inverse contains only 13 in its period.
CROSSREFS
Sequence in context: A037207 A225488 A096688 * A249067 A366420 A124983
KEYWORD
nonn,base
AUTHOR
Jeff Burch, Oct 19 2010
STATUS
approved