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Revision History for A000029 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
Number of necklaces with n beads of 2 colors, allowing turning over (these are also called bracelets).
(history; published version)
#164 by Charles R Greathouse IV at Sun Feb 16 08:32:18 EST 2025
LINKS

Eric Weisstein's World of Mathematics, <a href="httphttps://mathworld.wolfram.com/Necklace.html">Necklace</a>

Eric Weisstein's World of Mathematics, <a href="httphttps://mathworld.wolfram.com/e.html">e</a>

Discussion
Sun Feb 16
08:32
OEIS Server: https://oeis.org/edit/global/3014
#163 by Alois P. Heinz at Tue Oct 15 09:04:50 EDT 2024
STATUS

reviewed

approved

#162 by Amiram Eldar at Tue Oct 15 08:33:32 EDT 2024
STATUS

proposed

reviewed

#161 by Michel Marcus at Tue Oct 15 05:36:47 EDT 2024
STATUS

editing

proposed

#160 by Michel Marcus at Tue Oct 15 05:36:42 EDT 2024
LINKS

H. Henry Bottomley, <a href="/A000029/a000029.gif">Illustration of initial terms</a>

F. Frank Ruskey, <a href="http://combos.org/necklace">Necklaces, Lyndon words, De Bruijn sequences, etc.</a>

F. Frank Ruskey, <a href="/A000011/a000011.pdf">Necklaces, Lyndon words, De Bruijn sequences, etc.</a> [Cached copy, with permission, pdf format only]

STATUS

proposed

editing

#159 by David A Roberts at Tue Oct 15 05:27:31 EDT 2024
STATUS

editing

proposed

#158 by David A Roberts at Tue Oct 15 05:22:34 EDT 2024
MATHEMATICA

a[0] := 1; a[n_] := Fold[ # 1 + EulerPhi[ # 2]2^(n/ # 2)/(2n) &, If[OddQ[n], 2^((n - 1)/2), 2^(n/2 - 1) + 2^(n/2 - 2)], Divisors[n]]

STATUS

approved

editing

Discussion
Tue Oct 15
05:27
David A Roberts: The Mathematica program was being incorrectly interpreted because of the extra spaces around the hash characters.
#157 by Michael De Vlieger at Sat Sep 21 08:43:53 EDT 2024
STATUS

proposed

approved

#156 by Stefano Spezia at Sat Sep 21 08:17:35 EDT 2024
STATUS

editing

proposed

#155 by Stefano Spezia at Sat Sep 21 05:46:27 EDT 2024
LINKS

James Tilley, Stan Wagon, and Eric Weisstein, <a href="https://arxiv.org/abs/2409.11249">A Catalog of Facially Complete Graphs</a>, arXiv:2409.11249 [math.CO], 2024. See p. 11.

STATUS

approved

editing