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Length of longest possible 90-degree snake inside a circle of diameter n.
3

%I #22 Aug 13 2020 14:02:28

%S 33,43,44,59,50,77,70

%N Length of longest possible 90-degree snake inside a circle of diameter n.

%C A snake is a sequence of unit line segments that are non-overlapping except that each one begins where the previous one ends. An n-degree snake is a snake all of whose angles with the horizontal are multiples of n.

%C These solutions have been found by experimentation and are in that respect conjectural.

%H Erich Friedman, <a href="https://erich-friedman.github.io/mathmagic/0503.html">Problem of the month May 2003</a>

%Y Cf. A196580, A196581, A196582, A196591.

%K nonn,more

%O 5,1

%A _Kausthub Gudipati_, Oct 04 2011