A187679 "Connect the dots": Minimal number of circular arcs needed to connect all points of an n X n grid of points.

1, 1, 3, 3, 5, 6, 9

Offset: 1

Author

N. J. A. Sloane, Mar 12 2011

Keywords

• nonn
• more

Comments

a(7)=9 is only a conjecture at present. I include it in the Data line to disambiguate this sequence from its neighbors.

For straight line segments the answer is conjectured to be 2n-2 for all n >=3, with a(1)=1, a(2)=3.

Links

• S. W. Golomb and John Selfridge, Unicursal Polygonal Paths and Other Graphs on Point Lattices, Pi Mu Epsilon Journal 5 (1970) 107-117.
• Ed Pegg, Jr., Connect the dots - Arcs