A361622
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.
Original entry on oeis.org
13, 46, 99, 164, 257, 370, 503, 648, 821, 1014, 1227, 1444, 1697, 1970, 2255
Offset: 1
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.
Original entry on oeis.org
112, 1264, 5548, 14976, 37092, 77096, 143560, 237504
Offset: 1
A354605
Number of vertices 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.
Original entry on oeis.org
101, 1145, 5001, 13753, 34497, 72185, 135157, 224321
Offset: 1
A361623
Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, 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.
Original entry on oeis.org
0, 40, 60, 12, 0, 484, 583, 160, 28, 8, 0, 2196, 2416, 804, 104, 28, 0, 5676, 6616, 2184, 460, 40, 8, 13456, 16936, 5236, 1340, 104, 12, 4, 27512, 35032, 11796, 2400, 320, 28, 0, 4, 0, 50688, 65044, 22536, 4632, 584, 60, 12, 4, 8, 84300, 105860, 38024, 8124, 1080, 108
Offset: 1
The table begins:
0, 40, 60, 12;
0, 484, 583, 160, 28, 8;
0, 2196, 2416, 804, 104, 28;
0, 5676, 6616, 2184, 460, 40;
8, 13456, 16936, 5236, 1340, 104, 12;
4, 27512, 35032, 11796, 2400, 320, 28, 0, 4;
0, 50688, 65044, 22536, 4632, 584, 60, 12, 4;
8, 84300, 105860, 38024, 8124, 1080, 108;
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A372616
Number of curved edges among all distinct circles that can be constructed from the 3 vertices and the equally spaced 3*n points placed on the sides of an equilateral triangle, using only a compass.
Original entry on oeis.org
12, 207, 1104, 4359, 14880, 32523, 73662, 121605, 223290, 329286, 554286, 722841, 1145091
Offset: 0
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.
Original entry on oeis.org
84, 1180, 8836, 29980, 80564, 193172, 403780, 654196, 1159780
Offset: 0
A362235
Number of edges 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.
Original entry on oeis.org
48, 620, 3184, 10516, 27240, 57676, 109880, 189436, 307200, 474820, 703880
Offset: 1
A372733
Number of curved edges among all distinct circles that can be constructed from the 3 vertices and the equally spaced 3*n points placed on the sides of an equilateral triangle when every pair of the 3 + 3*n points are connected by a circle and where the points lie at the ends of the circle's diameter.
Original entry on oeis.org
12, 138, 738, 2838, 7194, 17904, 33954, 62868, 103866, 167280, 248826, 370458, 511806, 715905, 952608, 1260366
Offset: 0
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