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~~.)
newer changes | Showing entries 11-20 | older changes

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)

#29 by Hugo Pfoertner at Sun Jul 08 18:07:29 EDT 2018

CROSSREFS

Cf. A010566, A037245 (open self-avoiding walks), A216194A316194.

#28 by Hugo Pfoertner at Sun Jul 08 18:05:33 EDT 2018

CROSSREFS

Cf. A010566, A037245 (open self-avoiding walks), A216194.

Cf. A037245 (open self-avoiding walks).

#27 by Hugo Pfoertner at Sun Jul 08 18:02:46 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>.

Hugo Pfoertner, <a href="http://www.randomwalk.de/sequences/a216194.htm">Illustration of polygons of perimeter <= 16</a>.

CROSSREFS

a(n) approaches (1/8)*A002931(n) for increasing n.

STATUS

approved

editing

#26 by Joerg Arndt at Sun Jan 28 11:00:08 EST 2018

STATUS

editing

approved

#25 by Joerg Arndt at Sun Jan 28 11:00:03 EST 2018

COMMENTS

First differs Differs from A057730 beginning at a(n = 8), , since that sequence includes polyominoes with holes.

STATUS

proposed

editing

#24 by Omar E. Pol at Sat Jan 27 09:54:55 EST 2018

STATUS

editing

proposed

#23 by Omar E. Pol at Sat Jan 27 09:54:47 EST 2018

COMMENTS

Differs First differs from A057730 beginning at n = a(8, ), since that sequence includes polyominoes with holes.

EXTENSIONS

Terms a(11) .. -a(16) from Joerg Arndt, Jan 25 2018

STATUS

reviewed

editing

#22 by Peter Luschny at Sat Jan 27 03:28:48 EST 2018

STATUS

proposed

reviewed

#21 by Joerg Arndt at Sat Jan 27 02:18:09 EST 2018

STATUS

editing

proposed

#20 by Joerg Arndt at Sat Jan 27 02:17:21 EST 2018

CROSSREFS

Cf. A037245 (open self-avoiding walks).

Discussion

Sat Jan 27

02:18

Joerg Arndt: Suggesting "nice".