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A254080
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Number of primitive (=aperiodic) n-bead necklaces with colored beads of exactly 8 different colors.
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2
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5040, 161280, 3024000, 43545600, 534330720, 5891719680, 60227481600, 582295633920, 5397245411040, 48421936442880, 423440785541760, 3628271603174400, 30584600246448864, 254421149466401280, 2093705950217414400, 17078070713147136000, 138294714025711281360
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OFFSET
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8,1
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LINKS
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MAPLE
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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);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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