A328743 Number of n-bead necklace structures which are not self-equivalent under a nonzero rotation using a maximum of four different colored beads.

1, 1, 0, 1, 2, 10, 26, 102, 336, 1225, 4352, 15934, 58190, 215250, 798720, 2983136, 11184128, 42109450, 159070352, 602809326, 2290640486, 8726307432, 33318502400, 127479700198, 488671717040, 1876500180280, 7217306664960, 27799998938929, 107228560958610, 414124108294450

Offset

0,5

Comments

Permuting the colors does not change the structure.

Links

Andrew Howroyd, Table of n, a(n) for n = 0..200

Formula

a(n) = Sum_{k=1..4} A327693(n, k) for n > 0.

a(p) = A056300(p) for prime p >= 5.

Crossrefs

Cf. A056292, A056300, A327693, A328741.

Sequence in context: A321240 A322201 A099583 * A133479 A196324 A327841

Adjacent sequences: A328740 A328741 A328742 * A328744 A328745 A328746

Keyword

nonn

Author

Andrew Howroyd, Oct 26 2019

Status

approved