A346124 Numbers m such that no self-avoiding walk of length m + 1 on the square lattice fits into the smallest circle that can enclose a walk of length m.

1, 4, 6, 8, 12, 14, 15, 16, 18, 20, 21, 23, 24, 25, 26, 27, 28, 32, 34, 36, 38, 44, 46, 48, 52, 56, 58, 60

Offset

1,2

Comments

Closed walks are allowed.

Links

Table of n, a(n) for n=1..28.

Hugo Pfoertner, Examples of paths of maximum length.

Example

See link for illustrations of terms corresponding to diameters D < 8.5.

Crossrefs

The squared radii of the enclosing circles are a subset of A192493/A192494.

Cf. A037245, A122224, A127399, A127400, A127401, A266549, A316194, A346993, A346994, A346995.

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

Sequence in context: A179852 A281020 A110606 * A241124 A117247 A249722

Adjacent sequences: A346121 A346122 A346123 * A346125 A346126 A346127

Keyword

nonn,more

Author

Hugo Pfoertner and Markus Sigg, Jul 30 2021

Status

approved