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A328657 Number of primitive (period n) n-bead bracelet structures which are not periodic palindromes using a maximum of three different colored beads. 2
0, 0, 1, 1, 4, 9, 26, 66, 183, 488, 1342, 3690, 10220, 28470, 79720, 224230, 633040, 1793727, 5097638, 14528640, 41509364, 118868750, 341098474, 980661510, 2824295364, 8147015352, 23535794889, 68085719208, 197213728060, 571919889400, 1660412355602, 4825573629390 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Permuting the colors of the beads will not change the structure.

LINKS

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

FORMULA

a(n) = Sum_{k=1..3} A309784(n, k).

a(n) = A056362(n) - A056514(n).

EXAMPLE

For n <= 5, the structures are the same as in A328038.

For n = 6, the 9 bracelet structures have the patterns: AABABB, ABCCCC, ABBCCC, ABBBCB, ABBCBC, ABBCCB, ABCBBC, AABBCC, AABCBC.

CROSSREFS

Cf. A056362, A056514, A309784, A328038.

Sequence in context: A020181 A216134 A226908 * A335983 A113682 A291064

Adjacent sequences:  A328654 A328655 A328656 * A328658 A328659 A328660

KEYWORD

nonn

AUTHOR

Andrew Howroyd, Oct 24 2019

STATUS

approved

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Last modified September 26 18:49 EDT 2020. Contains 337374 sequences. (Running on oeis4.)