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Revision History for A115114

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Asymmetric rhythm cycles (patterns): binary necklaces of length 2n subject to the restriction that for any k if the k-th bead is of color 1 then the (k+n)-th bead (modulo 2n) is of color 0.
(history; published version)
#25 by Vaclav Kotesovec at Sun Oct 27 04:48:16 EDT 2024
STATUS

editing

approved

#24 by Vaclav Kotesovec at Sun Oct 27 04:48:12 EDT 2024
FORMULA

a(n) ~ 3^n/(2*n). - Vaclav Kotesovec, Oct 27 2024

STATUS

approved

editing

#23 by Andrew Howroyd at Fri Aug 21 14:33:24 EDT 2020
STATUS

reviewed

approved

#22 by Wesley Ivan Hurt at Fri Aug 21 13:37:08 EDT 2020
STATUS

proposed

reviewed

#21 by Michel Marcus at Fri Aug 21 13:12:39 EDT 2020
STATUS

editing

proposed

#20 by Michel Marcus at Fri Aug 21 13:12:33 EDT 2020
LINKS

R. W. Hall and P. Klingsberg, <a href="https://doi.org/10.1080/00029890.2006.11920376">Asymmetric Rhythms and Tiling Canons</a>, Preprint, 2004; The American Mathematical Monthly, Volume 113, 2006 - Issue 10, [<a href="https://www.jstor.org/stable/27642087?seq=1">alternative link</a>].

STATUS

proposed

editing

#19 by Elijah Beregovsky at Fri Aug 21 13:09:31 EDT 2020
STATUS

editing

proposed

#18 by Elijah Beregovsky at Fri Aug 21 13:09:28 EDT 2020
LINKS

R. W. Hall and P. Klingsberg, <a href="https://wwwarchive.semanticscholarbridgesmathart.org/paper2004/Asymmetric-Rhythms%2C-Tiling-Canons%2C-and-Burnside&#39;sbridges2004-Klingsberg/01d101fc4ef7ce5f1f9eeeeeafb046ede9cb4ea8189.html">Asymmetric Rhythms, Tiling Canons and Burnside's Lemma</a>, Bridges Proceedings, pp. 189-194, 2004 (Winfield, Kansas).

R. W. Hall and P. Klingsberg, <a href="https://doi.org/10.1080/00029890.2006.11920376">Asymmetric Rhythms and Tiling Canons</a>, Preprint, 2004; The American Mathematical Monthly, Volume 113, 2006 - Issue 10, [<a href="https://www.jstor.org/stable/27642087?seq=1">alternative link</a>].

STATUS

proposed

editing

#17 by Elijah Beregovsky at Fri Aug 21 12:16:57 EDT 2020
STATUS

editing

proposed

Discussion
Fri Aug 21
12:27
Michel Marcus: see A115116 discussions
#16 by Elijah Beregovsky at Fri Aug 21 12:16:50 EDT 2020
LINKS

R. W. Hall and P. Klingsberg, <a href="httphttps://www.sjusemanticscholar.eduorg/%7Erhallpaper/Asymmetric-Rhythms%2C-Tiling-Canons%2C-and-Burnside&#39;s-Klingsberg/asymmetric.pdf01d101fc4ef7ce5f1f9eeeeeafb046ede9cb4ea8">Asymmetric Rhythms, Tiling Canons and Burnside's Lemma</a>, Bridges Proceedings, pp. 189-194, 2004 (Winfield, Kansas).

R. W. Hall and P. Klingsberg, <a href="httphttps://www.sjudoi.edu/%7Erhall/Rhythmsorg/AsymmetricRhythms10.1080/canons00029890.2006.pdf11920376">Asymmetric Rhythms and Tiling Canons</a>, Preprint, 2004; The American Mathematical Monthly, Volume 113, 2006 - Issue 10.

STATUS

approved

editing

Discussion
Fri Aug 21
12:16
Elijah Beregovsky: Dead link