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A346127 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. 2
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 (list; graph; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=1..37.

Hugo Pfoertner, Examples of paths of maximum length.

EXAMPLE

See link for illustrations of terms corresponding to diameters D < 4.126.

CROSSREFS

Cf. A127399, A127400, A127401, A306177, A316197.

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

Sequence in context: A039248 A039190 A039142 * A039103 A228082 A153088

Adjacent sequences:  A346124 A346125 A346126 * A346128 A346129 A346130

KEYWORD

nonn,walk,more

AUTHOR

Hugo Pfoertner and Markus Sigg, Aug 01 2021

STATUS

approved

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Last modified January 25 23:56 EST 2022. Contains 350572 sequences. (Running on oeis4.)