cp's OEIS Frontend

A373110 Number of distinct circles that can be constructed from the 4 vertices and the equally spaced 4*n points placed on the sides of a square when every pair of the 4 + 4*n points are connected by a circle and where the points lie at the ends of the circle's diameter.

%I A373110 #7 May 26 2024 08:19:57
%S A373110 5,22,54,99,159,232,320,421,537,666,810,967,1139,1324,1524,1737,1965,
%T A373110 2206,2462,2731,3015,3312,3624,3949
%N A373110 Number of distinct circles that can be constructed from the 4 vertices and the equally spaced 4*n points placed on the sides of a square when every pair of the 4 + 4*n points are connected by a circle and where the points lie at the ends of the circle's diameter.
%C A373110 A circle is constructed for every pair of the 4 + 4*n points, the two points lying at the ends of a diameter of the circle.
%C A373110 See A373106 and A373107 for images of the circles.
%F A373110 Conjectured:
%F A373110 For even n, a(n) = (14*n^2 + 21*n + 10)/2.
%F A373110 For odd n, a(n) = (14*n^2 + 21*n + 9)/2.
%Y A373110 Cf. A373106, A373107, A373108, A372981, A372735, A359931, A360350, A361622, A365669.
%K A373110 nonn,more
%O A373110 0,1
%A A373110 _Scott R. Shannon_, May 25 2024