A346132 Numbers m such that no self-avoiding walk that can make turns from the set 0, +-Pi/6, +-2*Pi/6, +-3*Pi/6, +-4*Pi/6, +-5*Pi/6, of length m + 1 fits into the smallest circle that can enclose a walk of length m.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 29, 30, 32, 33, 34, 35, 36, 37, 41

Offset: 1

Author

Hugo Pfoertner and Markus Sigg, Jul 21 2021

Keywords

• nonn
• more

Comments

Closed walks are allowed (see A316192). The only known closed walks that fit into a smaller enclosing circle than any open walk of the same length occur for lengths 3 and 5.

Examples

			See link for illustrations of terms corresponding to diameters D < 3.23.
		

Links

• Hugo Pfoertner, Examples of paths of maximum length.

Crossrefs

Cf. A127399, A127400, A127401, A306182, A316192.

Cf. A346123-A346131 similar to this sequence with other sets of turning angles.