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Search: id:A027671
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| A027671 |
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Number of necklaces with n beads of 3 colors, allowing turning over. |
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+0
10
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| 1, 3, 6, 10, 21, 39, 92, 198, 498, 1219, 3210, 8418, 22913, 62415, 173088, 481598, 1351983, 3808083, 10781954, 30615354, 87230157, 249144711, 713387076, 2046856566, 5884491500, 16946569371, 48883660146
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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J. L. Fisher, Application-Oriented Algebra (1977) ISBN 0-7002-2504-8, circa p 215.
M. Gardner "New Mathematical Diversions from Scientific American" (Simon and Schuster, New York, 1966), pages 245-246.
E. N. Gilbert and J. Riordan, Symmetry types of periodic sequences, Illinois J. Math., 5 (1961), 657-665.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..200
F. Ruskey, Necklaces, Lyndon words, De Bruijn sequences, etc.
R. M. Thompson and R. T. Downs, Systematic generation of all nonequivalent close-packed stacking sequences..., Acta Cryst. B57 (2001), 766-771; B58 (2002), 153.
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
Index entries for sequences related to bracelets
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CROSSREFS
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Cf. A056353, A114438.
Sequence in context: A076713 A136569 A061883 this_sequence A167617 A068149 A068709
Adjacent sequences: A027668 A027669 A027670 this_sequence A027672 A027673 A027674
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Alford Arnold (Alford1940(AT)aol.com)
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EXTENSIONS
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More terms from Christian G. Bower (bowerc(AT)usa.net)
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