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A254080 Number of primitive (=aperiodic) n-bead necklaces with colored beads of exactly 8 different colors. 2
5040, 161280, 3024000, 43545600, 534330720, 5891719680, 60227481600, 582295633920, 5397245411040, 48421936442880, 423440785541760, 3628271603174400, 30584600246448864, 254421149466401280, 2093705950217414400, 17078070713147136000, 138294714025711281360 (list; graph; refs; listen; history; text; internal format)
OFFSET

8,1

LINKS

Alois P. Heinz, Table of n, a(n) for n = 8..1000

MAPLE

with(numtheory):

b:= proc(n, k) option remember; `if`(n=0, 1,

      add(mobius(n/d)*k^d, d=divisors(n))/n)

    end:

a:= n-> add(b(n, 8-j)*binomial(8, j)*(-1)^j, j=0..8):

seq(a(n), n=8..30);

CROSSREFS

Column k=8 of A254040.

Sequence in context: A191685 A213877 A135456 * A228910 A258419 A179062

Adjacent sequences:  A254077 A254078 A254079 * A254081 A254082 A254083

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Jan 25 2015

STATUS

approved

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Last modified January 22 23:50 EST 2022. Contains 350504 sequences. (Running on oeis4.)