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A066313 Number of aperiodic necklaces with n red or blue beads such that two necklaces are equivalent under the operation (turn necklace over and switch the two colors). +0
3
1, 1, 1, 2, 3, 6, 9, 18, 28, 57, 93, 181, 315, 612, 1091, 2100, 3855, 7392, 13797, 26436, 49929, 95790, 182361, 350440, 671088, 1292445, 2485504, 4797261, 9256395, 17903316, 34636833, 67124160, 130150493, 252675975, 490853403 (list; graph; listen)
OFFSET

1,4

COMMENT

Also number of aperiodic cyclic graphs with oriented edges on n nodes that can be turned over.

LINKS

N. J. A. Sloane, Transforms

Index entries for sequences related to bracelets

FORMULA

Moebius transform of A053656.

EXAMPLE

The equivalence requires the "turning over" operation and the "switching colors" operation to be simultaneous; thus rrrbbrrb is equivalent to rbbrrbbb, but not to bbbrrbbr.

CROSSREFS

Sequence in context: A038754 A133626 A165647 this_sequence A018499 A107847 A059966

Adjacent sequences: A066310 A066311 A066312 this_sequence A066314 A066315 A066316

KEYWORD

nonn

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Dec 13 2001; revised Apr 25 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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