cp's OEIS Frontend

A360354 Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from an n x n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.

%I A360354 #13 Feb 04 2023 20:39:38
%S A360354 8,4,40,108,20,92,904,456,76,0,8,200,4540,3400,652,100,4,8,404,17244,
%T A360354 15324,3148,628,116,16,528,54252,54476,11672,2152,332,44,12,972,
%U A360354 151992,158468,37244,7940,1120,224,48,12,16,1404,379488,404148,103436,20216,3316,600,132,20,16
%N A360354 Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from an n x n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle.
%C A360354 A circle is constructed for every pair of points on the n X n grid, the points lying at the ends of a diameter of the circle.
%C A360354 The number of distinct circles constructed from the n x n grid is A360350(n).
%C A360354 See A360351 and A360352 for images of the circles.
%F A360354 Sum of row n = A360352(n).
%e A360354 The table begins:
%e A360354 8, 4;
%e A360354 40, 108, 20;
%e A360354 92, 904, 456, 76, 0, 8;
%e A360354 200, 4540, 3400, 652, 100, 4, 8;
%e A360354 404, 17244, 15324, 3148, 628, 116, 16;
%e A360354 528, 54252, 54476, 11672, 2152, 332, 44, 12;
%e A360354 972, 151992, 158468, 37244, 7940, 1120, 224, 48, 12, 16;
%e A360354 1404, 379488, 404148, 103436, 20216, 3316, 600, 132, 20, 16;
%e A360354 1896, 868460, 923656, 252096, 49848, 7916, 1744, 276, 84;
%e A360354 .
%e A360354 .
%Y A360354 Cf. A360351 (vertices), A360352 (regions), A360353 (edges), A360354 (k-gons), A360350 (distinct circles), A359935.
%K A360354 nonn,tabf
%O A360354 2,1
%A A360354 _Scott R. Shannon_, Feb 04 2023