

A179194


Bases n in which 1/(n2) is nonterminating and has period n3.


1



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
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OFFSET

1,1


COMMENTS

For any base n, the maximum number of repeating digits in 1/(n2) is n3.
This is a list of the bases where the period of 1/(n2) is equal to that maximum.


LINKS

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


EXAMPLE

The first base listed is base 5. The base5 representation of 1/3 is 0.1313..., with a period of 2.
Another base listed is base 15. The base15 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



