A326789 - OEIS

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

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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.