A326789 Number of n-bead asymmetric bracelets with exactly 4 different colored beads.

0, 0, 0, 3, 24, 124, 588, 2484, 10240, 40464, 158220, 608951, 2333520, 8894616, 33864340, 128791140, 490027200, 1865614976, 7110959340, 27138170397, 103717719412, 396965536224, 1521562700988, 5840509149020, 22450188684264, 86412086034120, 333035003533660

Offset: 1

Author

Andrew Howroyd, Sep 12 2019

Keywords

• nonn

Comments

Asymmetric bracelets are those primitive (period n) bracelets that when turned over are different from themselves.

Links

• Andrew Howroyd, Table of n, a(n) for n = 1..200

Crossrefs

Column k=4 of A309651.

Cf. A032239, A032240, A032241, A056344, A056350, A305543, A326660.

Formula

a(n) = A032241(n) - 4*A032240(n) + 6*A032239(n) for n >= 3.

Moebius transform of A305543.