The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A346125 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A346125

Numbers m such that no self-avoiding walk that can make turns from the set +-Pi/5, +-3*Pi/5, of length m + 1 fits into the smallest circle that can enclose a walk of length m.
(history; published version)

#9 by Alois P. Heinz at Tue Aug 03 19:00:05 EDT 2021

STATUS

proposed

approved

#8 by Hugo Pfoertner at Tue Aug 03 16:28:05 EDT 2021

STATUS

editing

proposed

#7 by Hugo Pfoertner at Tue Aug 03 16:26:36 EDT 2021

DATA

1, 3, 5, 6, 7, 9, 11, 12, 14, 15, 17, 19, 25, 27, 28, 31, 32, 33, 34, 35, 37, 38, 39, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 57, 59

EXAMPLE

See link for illustrations of terms corresponding to diameters D < 45.775114.

STATUS

approved

editing

#6 by Susanna Cuyler at Tue Aug 03 12:29:11 EDT 2021

STATUS

proposed

approved

#5 by Hugo Pfoertner at Tue Aug 03 03:02:31 EDT 2021

STATUS

editing

proposed

#4 by Hugo Pfoertner at Tue Aug 03 02:59:00 EDT 2021

CROSSREFS

Cf. A127399, A127400, A127401, A306175, A316195, A346123, A346124, A346132.

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

#3 by Hugo Pfoertner at Sat Jul 31 14:34:16 EDT 2021

CROSSREFS

Cf. A127399, A127400, A127401, A306175, A316195, A346123, A346124, A316132A346132.

#2 by Hugo Pfoertner at Sat Jul 31 14:32:41 EDT 2021

NAME

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

DATA

1, 3, 5, 6, 7, 9, 11, 12, 14, 15, 17, 19, 25, 27, 28, 31, 32, 33, 34, 35, 37, 38, 39, 42, 43, 44, 45, 46, 48, 49, 50

OFFSET

1,2

COMMENTS

Although closed walks (see A316195) 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/a346125.htm">Examples of paths of maximum length</a>.

EXAMPLE

See link for illustrations of terms corresponding to diameters D < 4.775.

CROSSREFS

Cf. A127399, A127400, A127401, A306175, A316195, A346123, A346124, A316132.

KEYWORD

allocated

nonn,walk,more

AUTHOR

Hugo Pfoertner and Markus Sigg, Jul 31 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