A346127 - OEIS

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.

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