A328740 - OEIS

A328740

Number of n-bead necklace structures which are not self-equivalent under a nonzero rotation using exactly three different colored beads.

0, 0, 0, 1, 5, 13, 43, 116, 335, 920, 2591, 7173, 20125, 56260, 158333, 446098, 1262225, 3579227, 10181479, 29028405, 82968695, 237634700, 682014587, 1960951980, 5647919640, 16292680600, 47069103545, 136166476875, 394418199725, 1143821408316, 3320790074371

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OFFSET

1,5

COMMENTS

Permuting the colors does not change the structure.

LINKS

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

FORMULA

a(p) = A056296(p) = A056304(p) for prime p >= 5.

EXAMPLE

For n=5, the 5 necklace structures are: aaabc, aabac, aabbc, aabcb, ababc.

CROSSREFS