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.
%I A372977 #8 May 19 2024 08:53:50 %S A372977 40,553,4204,14505,39004,94365,197464,320925,569600 %N 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. %C A372977 A circle is constructed for every pair of the 4 + 4*n points, the first point defines the circle's center while the second the radius distance. %H A372977 Scott R. Shannon, <a href="/A372977/a372977.jpg">Image for n = 0</a>. In this and other images the 4 + 4*n vertices forming the square are drawn larger for clarity. %H A372977 Scott R. Shannon, <a href="/A372977/a372977_1.jpg">Image for n = 1</a>. %H A372977 Scott R. Shannon, <a href="/A372977/a372977_2.jpg">Image for n = 2</a>. %H A372977 Scott R. Shannon, <a href="/A372977/a372977_3.jpg">Image for n = 3</a>. %F A372977 a(n) = A372979(n) - A372978(n) + 1 by Euler's formula. %Y A372977 Cf. A372978 (regions), A372979 (edges), A372980 (k-gons), A372981 (circles), A372614, A372731, A371373, A354605, A360351. %K A372977 nonn,more %O A372977 0,1 %A A372977 _Scott R. Shannon_, May 19 2024