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A218127 Number of 10-ary sequences with primitive period n. 2
1, 10, 90, 990, 9900, 99990, 998910, 9999990, 99990000, 999999000, 9999899910, 99999999990, 999998990100, 9999999999990, 99999989999910, 999999999899010, 9999999900000000, 99999999999999990, 999999998999001000, 9999999999999999990, 99999999989999990100 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000 (terms 0..300 from Alois P. Heinz)

FORMULA

a(n) = Sum_{d|n} 10^d * mu(n/d) for n>0, a(0) = 1.

MAPLE

with(numtheory):

a:= n-> `if`(n=0, 1, add(10^d*mobius(n/d), d=divisors(n))):

seq(a(n), n=0..30);

CROSSREFS

Column k=10 of A143324.

Sequence in context: A097394 A172199 A063945 * A243106 A046706 A116348

Adjacent sequences:  A218124 A218125 A218126 * A218128 A218129 A218130

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 21 2012

STATUS

approved

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Last modified November 14 19:07 EST 2018. Contains 317214 sequences. (Running on oeis4.)