A346125 - OEIS

A346125

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

1, 3, 5, 6, 7, 9, 11, 12, 14, 15, 17, 19, 25, 27, 28, 31, 32, 33, 34, 35, 37, 38, 39, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 57, 59

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Although closed walks (see A316195) 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 < 5.114.

CROSSREFS

Cf. A127399, A127400, A127401, A306175, A316195.

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

Sequence in context: A284852 A285627 A050876 * A320472 A064802 A233570

Adjacent sequences: A346122 A346123 A346124 * A346126 A346127 A346128

KEYWORD

nonn,walk,more

AUTHOR

Hugo Pfoertner and Markus Sigg, Jul 31 2021

STATUS

approved