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

10,1

Links

Alois P. Heinz, Table of n, a(n) for n = 10..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, 10-j)*binomial(10, j)*(-1)^j, j=0..10):
seq(a(n), n=10..30);

Crossrefs

Column k=10 of A254040.

Sequence in context: A029577 A179967 A133360 * A228912 A213871 A179064

Adjacent sequences: A254079 A254080 A254081 * A254083 A254084 A254085

Keyword

nonn

Author

Alois P. Heinz, Jan 25 2015

Status

approved