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A372979
Number of edges among all distinct circles that can be constructed from the 4 vertices and the equally spaced 4*n points placed on the sides of a square, using only a compass.
5
84, 1180, 8836, 29980, 80564, 193172, 403780, 654196, 1159780
OFFSET
0,1
COMMENTS
A circle is constructed for every pair of the 4 + 4*n points, the first point defines the circle's center while the second the radius distance.
See A372977 and A372978 for images of the circles.
FORMULA
a(n) = A372977(n) + A372978(n) - 1 by Euler's formula.
CROSSREFS
Cf. A372977 (vertices), A372978 (regions), A372980 (k-gons), A372981 (circles), A372616, A371375, A356358, A360353.
Sequence in context: A220049 A220210 A092719 * A219944 A219833 A163592
KEYWORD
nonn,more
AUTHOR
Scott R. Shannon, May 19 2024
STATUS
approved