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A141248 Number of points having minimal visibility in a square n X n lattice of points. 3
1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 36, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 4, 4, 52, 4, 4, 8, 4, 4, 44, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 12, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 20, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Sequence A141247 gives the minimum number of points visible from a point. By symmetry, when a(n) is odd, the central point in the lattice can see only the minimal number of points. When a(n)=1, the central point is the only such point. See A141249 for the n X n lattices that have such a central point.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

MATHEMATICA

Table[mn=n^2+1; pts=0; Do[cnt=0; Do[If[GCD[c-a, d-b]<2, cnt++ ], {a, n}, {b, n}]; If[cnt<mn, mn=cnt; pts=1, If[cnt==mn, pts++ ]], {c, n}, {d, n}]; pts, {n, 20}]

CROSSREFS

Cf. A141225.

Sequence in context: A010709 A138908 A032564 * A273339 A088899 A258199

Adjacent sequences:  A141245 A141246 A141247 * A141249 A141250 A141251

KEYWORD

nonn

AUTHOR

T. D. Noe, Jun 17 2008

STATUS

approved

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Last modified June 13 11:44 EDT 2021. Contains 344992 sequences. (Running on oeis4.)