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

1,1

Links

Table of n, a(n) for n=1..28.

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

Adjacent sequences: A181428 A181429 A181430 * A181432 A181433 A181434

Keyword

nonn,base

Author

Jeff Burch, Oct 19 2010

Status

approved