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 A243933 Rounded down ratio of a minimum intersection area with a unit circle area in n-symmetrical unit circles intersect in a single point. 1
 17, 5, 77, 17, 210, 40, 445, 77, 812, 133, 1339, 210, 2056, 313, 2991, 445, 4175, 610, 5636, 812, 7403, 1054, 9506, 1339, 11973, 1672, 14835, 2056, 18120, 2494, 21856, 2991, 26075, 3550, 30804, 4175, 36073, 4869 (list; graph; refs; listen; history; text; internal format)
 OFFSET 3,1 COMMENTS Refer to construction rule in article "Circle-Circle Intersection" in MathWorld. For n > 4, the intersected areas appearing at many sizes. In this case the minimum areas are considered. See illustration in links. LINKS Kival Ngaokrajang, Illustration of initial terms Eric Weisstein's World of Mathematics, Circle-Circle Intersection FORMULA For n > 2, a(n) = floor(Pi/area), where area = 2*acos(cd/2)-(1/2)*cd*(4-cd^2)^(1/2), cd = 2*sin(((ang*360/n)*Pi/180)/2), ang = floor((n-1)/2). PROG (PARI) {for (n=3, 100, ang=floor((n-1)/2); cd=2*sin(((ang*360/n)*Pi/180)/2); area=2*acos(cd/2)-(1/2)*cd*(4-cd^2)^(1/2); print1(floor(Pi/area), ", "))} CROSSREFS Sequence in context: A297982 A298631 A338559 * A145965 A040276 A166211 Adjacent sequences:  A243930 A243931 A243932 * A243934 A243935 A243936 KEYWORD nonn AUTHOR Kival Ngaokrajang, Jun 15 2014 STATUS approved

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Last modified September 22 13:34 EDT 2021. Contains 347607 sequences. (Running on oeis4.)