A179193 Sum of the number of repeating digits for each reciprocal of integer m, where n>m>1 and n is the base.

0, 1, 1, 4, 1, 8, 9, 9, 9, 20, 15, 30, 22, 28, 23, 52, 33, 63, 58, 44, 65, 86, 84, 67, 68, 102, 135, 140, 80, 142, 171, 159, 142, 124, 88, 220, 204, 206, 224

Offset

2,4

Comments

No digits are counted as repeating for 1/m if 1/m terminates.

Equivalent to n>=m>=1, since 1/n and 1/1 do not have repeating digits in any integer base n.

Links

Table of n, a(n) for n=2..40.

Example

7th term considers octal: the fractions 1/2, 1/3, 1/4, 1/5, 1/6 and 1/7 have 0, 2, 0, 4, 2 and 1 repeating (octal) digits respectively, for a total of 9.
9th term considers decimal: the fractions 1/2, 1/3, 1/4, 1/5, 1/6, 1/7, 1/8 and 1/9 have 0, 1, 0, 0, 1, 6, 0 and 1 repeating (decimal) digits respectively, for a total of 9.

Crossrefs

Cf. A051626.

Sequence in context: A245566 A016689 A105533 * A124848 A090219 A264285

Adjacent sequences: A179190 A179191 A179192 * A179194 A179195 A179196

Keyword

nonn,base

Author

Will Nicholes, Jul 01 2010

Status

approved