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

1,4

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

Formula

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

Moebius transform of A305543.

Crossrefs

Column k=4 of A309651.

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

Sequence in context: A009134 A009137 A319097 * A305543 A356363 A183900

Adjacent sequences: A326786 A326787 A326788 * A326790 A326791 A326792

Keyword

nonn

Author

Andrew Howroyd, Sep 12 2019

Status

approved