

A187679


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


1




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 2n2 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) 107117.
Ed Pegg, Jr., Connect the dots  Arcs


CROSSREFS

Sequence in context: A138373 A011976 A060022 * A048274 A059892 A241090
Adjacent sequences: A187676 A187677 A187678 * A187680 A187681 A187682


KEYWORD

nonn,more


AUTHOR

N. J. A. Sloane, Mar 12 2011


STATUS

approved



