The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A266549 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A266549

Number of 2n-step 2-dimensional closed self-avoiding paths on square lattice, reduced for symmetry, i.e., where rotations and reflections are not counted as distinct.
(history; published version)

#39 by Peter Luschny at Sat May 25 06:10:32 EDT 2019

STATUS

reviewed

approved

#38 by Michel Marcus at Sat May 25 06:02:02 EDT 2019

STATUS

proposed

reviewed

#37 by Hugo Pfoertner at Sat May 25 04:53:41 EDT 2019

STATUS

editing

proposed

#36 by Hugo Pfoertner at Sat May 25 04:53:19 EDT 2019

LINKS

Brendan Owen, <a href="http://www.recmath.com/PolyPages/PolyPages/index.htm?Isopolyos.html">Isoperimetrical Polyominoes</a>, part of Andrew I. ClarkClarke's Poly Pages.

#35 by Hugo Pfoertner at Sat May 25 04:49:43 EDT 2019

LINKS

Brendan Owen, <a href="http://www.recmath.com/PolyPages/PolyPages/index.htm?Isopolyos.html">Isoperimetrical Polyominoes</a>, part of Andrew I. Clark's Poly Pages.

STATUS

approved

editing

#34 by Michel Marcus at Tue Jul 10 02:18:30 EDT 2018

STATUS

reviewed

approved

#33 by Joerg Arndt at Mon Jul 09 11:16:46 EDT 2018

STATUS

proposed

reviewed

#32 by Hugo Pfoertner at Mon Jul 09 09:36:30 EDT 2018

STATUS

editing

proposed

#31 by Hugo Pfoertner at Mon Jul 09 09:34:56 EDT 2018

LINKS

Hugo Pfoertner, <a href="https://oeis.org/plot2a?name1=A002931&name2=A266549&tform1=untransformed&tform2=untransformed&shift=0&radiop1=ratio&drawpoints=true">Illustration of ratio A002931(n)/a(n) using Plot2</a>, showing apparent limit of 8.

CROSSREFS

a(n) approaches (1/8)*Apparently lim A002931(n) /a(n) = 8 for increasing n, accounting for (in most cases) 4 rotations times two flips. - _Joerg Arndt_, _Hugo Pfoertner_, Jul 09 2018

STATUS

proposed

editing

#30 by Hugo Pfoertner at Sun Jul 08 18:08:31 EDT 2018

STATUS

editing

proposed

Discussion

Sun Jul 08

18:51

Omar E. Pol: Why is interesting the illustration of ratio A002931(n)/a(n) using Plot2? Do you have a comment?

Mon Jul 09

05:15

Joerg Arndt: "Apparently lim [something] = 8." Would seem much better to me.  Accounting for (in most cases) 4 rotations times two flips.