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

1,3

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

Table of n, a(n) for n=1..7.

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

Crossrefs

Sequence in context: A138373 A011976 A060022 * A048274 A351012 A059892

Adjacent sequences: A187676 A187677 A187678 * A187680 A187681 A187682

Keyword

nonn,more

Author

N. J. A. Sloane, Mar 12 2011

Status

approved