cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A383744 The number of distinct straightedge-and-compass constructions that can be made with a total of n lines and circles up to rigid motion.

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%I A383744 #16 May 11 2025 09:25:52
%S A383744 1,2,2,6,44,1000,90585
%N A383744 The number of distinct straightedge-and-compass constructions that can be made with a total of n lines and circles up to rigid motion.
%C A383744 A straightedge-and-compass construction starts with 2 points marked on the plane, traditionally (0,0) and (1,0). One can use a straightedge to draw a line between two marked points or a compass to draw a circle centered at a marked point through another marked point. New points occur at the intersections of lines or circles with lines or circles.
%C A383744 In this sequence, two constructions are considered the same if you can rotate, reflect, or translate one to get the other.
%H A383744 Peter Kagey, <a href="/A383744/a383744_2.pdf">Illustration of a(3)=6</a>.
%H A383744 Peter Kagey, <a href="/A383744/a383744_1.pdf">Illustration of a(4)=44</a>.
%H A383744 Peter Kagey, <a href="/A383744/a383744.pdf">Illustration of a(5)=1000</a>.
%e A383744 For example the following two constructions are considered the same:
%e A383744 (1) Draw a circle centered at (0,0) through (1,0), and then draw a line through (0,0) and (1,0).
%e A383744 (2) Draw a line through (0,0) and (0,1) and then draw a circle centered at (1,0) through (0,0).
%Y A383744 Cf. A241600, A250001, A383082, A383083, A383273
%K A383744 nonn,hard,more
%O A383744 0,2
%A A383744 _Peter Kagey_ and _N. J. A. Sloane_, May 08 2025