A179194 Bases n in which 1/(n-2) is non-terminating and has period n-3.

5, 7, 13, 15, 21, 31, 39, 55, 61, 63, 69, 85, 103, 109, 133, 141, 151, 165, 175, 181, 183, 199, 213, 229, 271, 295, 319, 349, 351, 375, 381, 391, 421, 423, 445, 463, 469, 493, 511, 525, 543, 549, 559, 565, 589, 615, 621, 655, 661, 663, 679, 703, 711, 759, 775

Offset

1,1

Comments

For any base n, the maximum number of repeating digits in 1/(n-2) is n-3.

This is a list of the bases where the period of 1/(n-2) is equal to that maximum.

Links

Table of n, a(n) for n=1..55.

Example

The first base listed is base 5. The base-5 representation of 1/3 is 0.1313..., with a period of 2.
Another base listed is base 15. The base-15 representation of 1/13 is 0.124936DCA5B8124936DCA5B8..., with a period of 12.

Crossrefs

Cf. A007733.

Sequence in context: A314314 A314315 A047550 * A314316 A314317 A314318

Adjacent sequences: A179191 A179192 A179193 * A179195 A179196 A179197

Keyword

nonn

Author

Will Nicholes, Jul 01 2010

Status

approved