

A122224


Length of the longest possible self avoiding path on the 2dimensional square lattice such that the path fits into a circle of diameter n.


9




OFFSET

2,2


COMMENTS

The path may be open or closed. For larger n several solutions with the same number of segments exist.
It is conjectured that a(n) >= A123690(n)1, i.e., that it is always possible to find a path visiting all grid points covered by a circle, irrespective of the position of its center.  Hugo Pfoertner, Mar 02 2018


LINKS

Table of n, a(n) for n=2..8.
Hugo Pfoertner, Examples of compact self avoiding paths on a square lattice.


CROSSREFS

Cf. A122223, A122226, A123690.
Sequence in context: A088804 A027924 A006578 * A183955 A299896 A312700
Adjacent sequences: A122221 A122222 A122223 * A122225 A122226 A122227


KEYWORD

hard,more,nonn


AUTHOR

Hugo Pfoertner, Sep 25 2006


STATUS

approved



