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Revision History for A346127

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Numbers m such that no self-avoiding walk that can make turns from the set +-Pi/7, +-3*Pi/7, +-5*Pi/7, of length m + 1 fits into the smallest circle that can enclose a walk of length m.
(history; published version)
#5 by Susanna Cuyler at Tue Aug 03 12:29:22 EDT 2021
STATUS

proposed

approved

#4 by Hugo Pfoertner at Tue Aug 03 02:56:57 EDT 2021
STATUS

editing

proposed

#3 by Hugo Pfoertner at Tue Aug 03 02:55:40 EDT 2021
DATA

1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 35, 37, 38, 39, 40, 41, 42, 43, 45, 47, 48

EXAMPLE

See link for illustrations of terms corresponding to diameters D < 4.055126.

CROSSREFS

Cf. A127399, A127400, A127401, A306177, A316197, A346123, A346125, A346132.

Cf. A346123-A346132 similar to this sequence with other sets of turning angles.

#2 by Hugo Pfoertner at Sun Aug 01 06:16:29 EDT 2021
NAME

allocated for Hugo PfoertnerNumbers m such that no self-avoiding walk that can make turns from the set +-Pi/7, +-3*Pi/7, +-5*Pi/7, of length m + 1 fits into the smallest circle that can enclose a walk of length m.

DATA

1, 2, 3, 5, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 28, 29, 30, 31, 35, 37, 38, 39, 40, 41, 42, 43, 45

OFFSET

1,2

COMMENTS

Although closed walks (see A316197) would be allowed, no closed walk that fits into a smaller enclosing circle than any open walk of the same length is known.

LINKS

Hugo Pfoertner, <a href="http://www.randomwalk.de/sequences/a346127.htm">Examples of paths of maximum length</a>.

EXAMPLE

See link for illustrations of terms corresponding to diameters D < 4.055.

KEYWORD

allocated

nonn,walk,more

AUTHOR

Hugo Pfoertner and Markus Sigg, Aug 01 2021

STATUS

approved

editing

#1 by Hugo Pfoertner at Mon Jul 05 11:11:38 EDT 2021
NAME

allocated for Hugo Pfoertner

KEYWORD

allocated

STATUS

approved