A385159
Place a point on the integer coordinates, up to |n|, along all four axial directions on a Cartesian plane, and then join a circle through every unordered triple of non-collinear points: a(n) is the number of distinct circles created.
Original entry on oeis.org
1, 18, 99, 280, 633, 1098, 1915, 2928, 4329, 6010, 8331, 10752, 14113, 17778, 21987
Offset: 1
- Scott R. Shannon, Image for n = 2. The 4 x 2 = 8 starting points are shown as white dots.
A385161
Place a point on the integer coordinates, up to |n|, along all four axial directions on a Cartesian plane, and then join a circle through every unordered triple of non-collinear points: a(n) is the number of distinct (finite) regions created.
Original entry on oeis.org
1, 117, 4713, 41173, 233365, 725081, 2323869
Offset: 1
- Scott R. Shannon, Image for n = 2. The 4 x 2 = 8 starting points are shown as white dots.
- Scott R. Shannon, Image for n = 3. The 4 x 3 = 12 starting points are shown as white dots.
A385162
Place a point on the integer coordinates, up to |n|, along all four axial directions on a Cartesian plane, and then join a circle through every unordered triple of non-collinear points: a(n) is the number of distinct (curved) edges formed from the intersections of the circles.
Original entry on oeis.org
4, 184, 8956, 79272, 455664, 1420624, 4576632
Offset: 1
- Scott R. Shannon, Image for n = 2. The 4 x 2 = 8 starting points are shown as white dots.
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