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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.
4

%I #5 Jul 07 2018 19:29:37

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

%N 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.

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

%H Contest Organizers, <a href="http://www.recmath.org/contest/Snakes/index.php">Al Zimmermann's Programming Contests - Snakes on a Plane</a>, Fall 2006.

%H Hugo Pfoertner, <a href="http://www.randomwalk.de/sequences/a316200.htm">Illustration of polygons of perimeter <= 9</a>.

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

%K nonn,walk,more

%O 1,4

%A _Hugo Pfoertner_, Jul 07 2018