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A254082 Number of primitive (=aperiodic) n-bead necklaces with colored beads of exactly 10 different colors.

%I A254082 #4 Jan 25 2015 10:18:43
%S A254082 362880,18144000,515592000,10977120000,195113318400,3063348288000,
%T A254082 43943631732000,588790762560000,7481812222684800,91158709273632000,
%U A254082 1073686615986821760,12301136459932320000,137753173599205449600,1513588462073525376000,16368017165881385004000
%N A254082 Number of primitive (=aperiodic) n-bead necklaces with colored beads of exactly 10 different colors.
%H A254082 Alois P. Heinz, <a href="/A254082/b254082.txt">Table of n, a(n) for n = 10..1000</a>
%p A254082 with(numtheory):
%p A254082 b:= proc(n, k) option remember; `if`(n=0, 1,
%p A254082       add(mobius(n/d)*k^d, d=divisors(n))/n)
%p A254082     end:
%p A254082 a:= n-> add(b(n, 10-j)*binomial(10, j)*(-1)^j, j=0..10):
%p A254082 seq(a(n), n=10..30);
%Y A254082 Column k=10 of A254040.
%K A254082 nonn
%O A254082 10,1
%A A254082 _Alois P. Heinz_, Jan 25 2015