A316200 Number of self-avoiding polygons with perimeter n and sides = 1 that have vertex angles from the set 0, +-Pi/5, +-2*Pi/5, +-3*Pi/5, +-4*Pi/5, not counting rotations and reflections as distinct.

0, 0, 0, 2, 2, 10, 15, 124, 352, 2378, 19405

Offset

1,4

Comments

Holes are excluded, i.e., the boundary path may nowhere touch or intersect itself.

Links

Table of n, a(n) for n=1..11.

Contest Organizers, Al Zimmermann's Programming Contests - Snakes on a Plane, Fall 2006.

Hugo Pfoertner, Illustration of polygons of perimeter <= 9.

Crossrefs

Cf. A258206, A266549, A284869, A306180, A316192, A316195, A316197, A316198, A316199, A316201.

Sequence in context: A003609 A366131 A307538 * A360636 A362745 A179789

Adjacent sequences: A316197 A316198 A316199 * A316201 A316202 A316203

Keyword

nonn,walk,more

Author

Hugo Pfoertner, Jul 07 2018

Status

approved