A372615
Number of regions 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
7, 121, 624, 2368, 7912, 17115, 38461, 63184, 115614, 170149, 285715, 371982, 588043
Offset: 0
A372731
Number of vertices 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
6, 51, 301, 1272, 3285, 8401, 16050, 30036, 49801, 80916, 120447, 180307, 249108, 350145, 465898, 618213
Offset: 0
A372977
Number of vertices 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
40, 553, 4204, 14505, 39004, 94365, 197464, 320925, 569600
Offset: 0
A372682
Number of 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
3, 15, 36, 69, 123, 180, 264, 339, 453, 549, 702, 807, 999, 1128, 1329, 1494, 1749, 1935, 2214, 2373, 2682, 2940, 3288, 3483
Offset: 0
A372735
Number of 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
3, 15, 34, 63, 99, 148, 201, 267, 340, 423, 513, 616, 723, 843, 970, 1107, 1251, 1408, 1569, 1743, 1924, 2115, 2313, 2524, 2739, 2967, 3202, 3447, 3699
Offset: 1
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
A372617
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 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
0, 7, 3, 70, 45, 3, 6, 312, 273, 33, 6, 1017, 1119, 186, 36, 3, 0, 1, 6, 2943, 4092, 702, 150, 15, 3, 1, 6, 6210, 8556, 1941, 351, 45, 3, 3, 6, 12946, 20034, 4632, 735, 99, 9, 6, 20925, 32685, 7944, 1435, 162, 27, 18, 37704, 59520, 15375, 2589, 324, 84, 30, 55326, 87138, 22626, 4456, 474, 96, 3
Offset: 0
The table begins:
0, 7;
3, 70, 45, 3;
6, 312, 273, 33;
6, 1017, 1119, 186, 36, 3, 0, 1;
6, 2943, 4092, 702, 150, 15, 3, 1;
6, 6210, 8556, 1941, 351, 45, 3, 3;
6, 12946, 20034, 4632, 735, 99, 9;
6, 20925, 32685, 7944, 1435, 162, 27;
18, 37704, 59520, 15375, 2589, 324, 84;
30, 55326, 87138, 22626, 4456, 474, 96, 3;
30, 91923, 146121, 38817, 7777, 894, 135, 9, 9;
36, 118734, 189804, 51747, 10356, 1122, 183;
36, 185730, 299571, 84285, 16015, 2139, 261, 3, 3;
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Showing 1-7 of 7 results.
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