Search: id:A141247
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%I A141247
%S A141247 1,4,6,10,14,22,26,38,46,58,66,86,94,118,130,146,162,194,206,241,257,
%T A141247 282,302,346,362,401,426,462,486,542,558,609,641,690,722,770,794,861,
%U A141247 899,950,982,1062,1086,1157,1201,1258,1302,1393,1425,1501,1546,1613
%N A141247 Minimum number of points visible from a point in a square n X n lattice.
%C A141247 Two points (a,b) and (c,d) are visible to each other when gcd(c-a,d-b)=1. 
               Sequence A141248 gives the number of lattice points that have minimal 
               visibility.
%H A141247 T. D. Noe, <a href="b141247.txt">Table of n, a(n) for n=1..1000</a>
%H A141247 Eric Weisstein, <a href="http://mathworld.wolfram.com/VisiblePoint.html">
               MathWorld: Visible Point</a>
%F A141247 The minimum number of visible points is slightly less than c*n^2, with 
               c = 6/pi^2.
%t A141247 Table[mn=n^2+1; Do[cnt=0; Do[If[GCD[c-a,d-b]<2, cnt++ ], {a,n}, {b,n}]; 
               If[cnt<mn, mn=cnt], {c,n}, {d,n}]; mn, {n,20}]
%Y A141247 Cf. A141224.
%Y A141247 Sequence in context: A100484 A076924 A103801 this_sequence A049632 A061227 
               A000066
%Y A141247 Adjacent sequences: A141244 A141245 A141246 this_sequence A141248 A141249 
               A141250
%K A141247 nonn
%O A141247 1,2
%A A141247 T. D. Noe (noe(AT)sspectra.com), Jun 17 2008

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