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A346128 Numbers m such that no self-avoiding walk that can make turns from the set 0, +-Pi/4, +-Pi/2, +-3*Pi/4, of length m + 1 fits into the smallest circle that can enclose a walk of length m. 1
1, 2, 4, 5, 7, 8, 9, 11, 12, 13, 15, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Closed walks (see A316198) are allowed, but except for the closed square-shaped walk of length 4 that fits into the same smallest enclosing circle as the smallest open walk of this length, no other closed walk that fits into a smaller enclosing circle than any open walk of the same length is known.

LINKS

Table of n, a(n) for n=1..31.

Hugo Pfoertner, Examples of paths of maximum length.

EXAMPLE

See link for illustrations of terms corresponding to diameters D < 3.83.

CROSSREFS

Cf. A127399, A127400, A127401, A306178, A316198.

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

Sequence in context: A184008 A183862 A254058 * A276220 A288204 A047381

Adjacent sequences: A346125 A346126 A346127 * A346129 A346130 A346131

KEYWORD

nonn,walk,more

AUTHOR

Hugo Pfoertner and Markus Sigg, Aug 01 2021

STATUS

approved

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Last modified December 5 21:40 EST 2022. Contains 358594 sequences. (Running on oeis4.)