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Search: id:A005515
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| A005515 |
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Number of n-bead bracelets (turn over necklaces) with 10 red beads.
(Formerly M4105)
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+0
3
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| 1, 1, 6, 14, 47, 111, 280, 600, 1282, 2494, 4752, 8524, 14938, 25102, 41272, 65772, 102817, 156871, 235378, 346346, 502303, 716859, 1010256, 1404624, 1931540, 2625658, 3534776, 4711448, 6226148, 8156396, 10603704
(list; graph; listen)
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OFFSET
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10,3
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
W. D. Hoskins; Anne Penfold Street, Twills on a given number of harnesses, J. Austral. Math. Soc. Ser. A 33 (1982), no. 1, 1-15.
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LINKS
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Index entries for sequences related to bracelets
F. Ruskey, Necklaces, Lyndon words, De Bruijn sequences, etc.
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MATHEMATICA
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k = 10; Table[(Apply[Plus, Map[EulerPhi[ # ]Binomial[n/#, k/# ] &, Divisors[GCD[n, k]]]]/n + Binomial[If[OddQ[n], n - 1, n - If[OddQ[k], 2, 0]]/2, If[OddQ[k], k - 1, k]/2])/2, {n, k, 50}] - Robert A. Russell (russell(AT)post.harvard.edu), Sep 27 2004
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CROSSREFS
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Sequence in context: A015892 A093369 A130443 this_sequence A114705 A107301 A118432
Adjacent sequences: A005512 A005513 A005514 this_sequence A005516 A005517 A005518
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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Sequence extended and description corrected by Christian G. Bower (bowerc(AT)usa.net)
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