A196579 Length of longest possible 90-degree snake inside a circle of diameter n.

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

Offset

5,1

Comments

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.

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

Links

Table of n, a(n) for n=5..11.

Erich Friedman, Problem of the month May 2003

Crossrefs

Cf. A196580, A196581, A196582, A196591.

Sequence in context: A045241 A046041 A140151 * A121993 A225565 A050875

Adjacent sequences: A196576 A196577 A196578 * A196580 A196581 A196582

Keyword

nonn,more

Author

Kausthub Gudipati, Oct 04 2011

Status

approved