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.

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

Author

Jeff Burch, Oct 19 2010

Keywords

• nonn
• base

Examples

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