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A353782
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 using only a compass.
9
112, 1264, 5548, 14976, 37092, 77096, 143560, 237504
OFFSET
1,1
COMMENTS
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. The number of distinct circles constructed from the points is A361622(n).
No formula for a(n) is currently known.
LINKS
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) = A356358 - A354605(n) + 1 by Euler's formula.
CROSSREFS
Cf. A354605 (vertices), A356358 (edges), A361623 (k-gons), A361622 (distinct circles), A359933, A359860, A359253, A359570, A359046.
Sequence in context: A232850 A233115 A188152 * A367363 A327633 A210300
KEYWORD
nonn,more
AUTHOR
Scott R. Shannon, Mar 13 2023
STATUS
approved