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 A362234 Number of regions among all 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 when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter. 4
 32, 372, 1804, 5772, 14660, 30816, 58232, 100080, 161700, 249200, 368384 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS A circle is constructed for every pair of the 1 + 4n points, the two points lying at the ends of a diameter of the circle. The number of distinct circles constructed from the points is A139275(n). No formula for a(n) is currently known. LINKS Table of n, a(n) for n=1..11. Scott R. Shannon, Image for n = 1. Scott R. Shannon, Image for n = 2. Scott R. Shannon, Image for n = 3. Scott R. Shannon, Image for n = 4. FORMULA a(n) = A362235(n) - A362233(n) + 1 by Euler's formula. CROSSREFS Cf. A362233 (vertices), A362235 (edges), A362236 (k-gons), A139275 (distinct circles), A353782, A359933. Sequence in context: A191901 A191489 A055752 * A250170 A125420 A163690 Adjacent sequences: A362231 A362232 A362233 * A362235 A362236 A362237 KEYWORD nonn,more AUTHOR Scott R. Shannon, Apr 13 2023 STATUS approved

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Last modified February 28 07:05 EST 2024. Contains 370387 sequences. (Running on oeis4.)