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Number of distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes using only a compass.
9

%I #9 Mar 20 2023 10:39:26

%S 13,46,99,164,257,370,503,648,821,1014,1227,1444,1697,1970,2255

%N Number of distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes using only a compass.

%C A circle is constructed for every pair of the 1 + 4n points, the first point defines the circle's center while the second the radius distance.

%C No formula for a(n) is known.

%C See A354605 and A353782 for images of the resulting vertices and regions.

%Y Cf. A354605 (vertices), A353782 (regions), A356358 (edges), A361623 (k-gons)

%K nonn,more

%O 1,1

%A _Scott R. Shannon_, Mar 18 2023