A328741 Number of n-bead necklace structures which are not self-equivalent under a nonzero rotation using exactly four different colored beads.

0, 0, 0, 0, 2, 9, 50, 206, 862, 3384, 13250, 50852, 194810, 741884, 2823712, 10735998, 40843370, 155483873, 592614050, 2261585918, 8643288808, 33080772468, 126797503250, 486710415710, 1870851589552, 7201012694120, 27752927349880, 107092389688830, 413729680838330

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) = A056297(p) = A056305(p) for prime p.

Example

For n=6, the 9 necklace structures are: aaabcd, aabacd, aabcad, aabbcd, aabcbd, aabcdb, aacbdb, ababcd, abacbd.

Crossrefs

Column 4 of A327693.

Cf. A056297, A056305, A328740, A328743.

Sequence in context: A185335 A262752 A138416 * A274066 A055997 A115599

Adjacent sequences: A328738 A328739 A328740 * A328742 A328743 A328744

Keyword

nonn

Author

Andrew Howroyd, Oct 26 2019

Status

approved