A383087 The number of distinct distances between points in the Euclidean plane where the points are constructed via a straightedge-and-compass construction using n lines and circles.
1, 1, 3, 5, 73, 6628
Offset: 0
Examples
For n = 0 and n = 1, the only number that is constructible is 1, the distance between the two initial points. For n = 2, we additionally can construct sqrt(3) and 2. To construct sqrt(3), draw two unit circles, centered at each of the two starting points. These unit circles intersect in two places, which are a distance of sqrt(3) apart. To construct 2, draw a unit circle along with the line connecting the starting points. The line marks two points that are opposite of each other on the unit circle. For n = 3, we additionally can construct 3 and 4.
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