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A320092 Number of primitive (=aperiodic) 8-ary words with length less than or equal to n which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. 3
1, 8, 71, 575, 4670, 37367, 299510, 2396150, 19173302, 153386927, 1227128750, 9817030070, 78536506805, 628292058542, 5026338565487, 40210708557167, 321685685267822, 2573485482143150, 20587883991625133, 164703071933262773, 1317624576539847542 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1108

FORMULA

a(n) = Sum_{j=1..n} Sum_{d|j} 8^(d-1) * mu(j/d).

a(n) = A143327(n,8).

a(n) = Sum_{j=1..n} A143325(j,8).

a(n) = A143326(n,8) / 8.

MAPLE

b:= n-> add(`if`(d=n, 8^(n-1), -b(d)), d=numtheory[divisors](n)):

a:= proc(n) option remember; b(n)+`if`(n<2, 0, a(n-1)) end:

seq(a(n), n=1..30);

CROSSREFS

Column k=8 of A143327.

Partial sums of A320073.

Cf. A008683, A143325, A143326.

Sequence in context: A193102 A038145 A198856 * A015576 A070998 A187709

Adjacent sequences:  A320089 A320090 A320091 * A320093 A320094 A320095

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 05 2018

STATUS

approved

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Last modified October 19 15:50 EDT 2019. Contains 328223 sequences. (Running on oeis4.)