A346130 Numbers m such that no self-avoiding walk that can make turns from the set 0, +-Pi/5, +-2*Pi/5, +-3*Pi/5, +-4*Pi/5, of length m + 1 fits into the smallest circle that can enclose a walk of length m.

1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 31, 32, 34, 35, 36, 37, 38, 40

Offset: 1

Author

Hugo Pfoertner and Markus Sigg, Aug 01 2021

Keywords

• nonn
• walk
• more

Comments

Closed walks (see A316200) are allowed. The only known closed walk that fits into a smaller enclosing circle than any open walk of the same length occurs for length 8.

Examples

			See link for illustrations of terms corresponding to diameters D < 3.592.
		

Links

• Hugo Pfoertner, Examples of paths of maximum length.

Crossrefs

Cf. A127399, A127400, A127401, A306180, A316200.

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