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

362880, 18144000, 515592000, 10977120000, 195113318400, 3063348288000, 43943631732000, 588790762560000, 7481812222684800, 91158709273632000, 1073686615986821760, 12301136459932320000, 137753173599205449600, 1513588462073525376000, 16368017165881385004000

Offset: 10

Author

Alois P. Heinz, Jan 25 2015

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 10..1000

Crossrefs

Column k=10 of A254040.

Programs

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, 10-j)*binomial(10, j)*(-1)^j, j=0..10):
seq(a(n), n=10..30);