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 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. 9
 8, 4, 40, 108, 20, 92, 904, 456, 76, 0, 8, 200, 4540, 3400, 652, 100, 4, 8, 404, 17244, 15324, 3148, 628, 116, 16, 528, 54252, 54476, 11672, 2152, 332, 44, 12, 972, 151992, 158468, 37244, 7940, 1120, 224, 48, 12, 16, 1404, 379488, 404148, 103436, 20216, 3316, 600, 132, 20, 16 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS 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. The number of distinct circles constructed from the n x n grid is A360350(n). See A360351 and A360352 for images of the circles. LINKS Table of n, a(n) for n=2..54. FORMULA Sum of row n = A360352(n). EXAMPLE The table begins: 8, 4; 40, 108, 20; 92, 904, 456, 76, 0, 8; 200, 4540, 3400, 652, 100, 4, 8; 404, 17244, 15324, 3148, 628, 116, 16; 528, 54252, 54476, 11672, 2152, 332, 44, 12; 972, 151992, 158468, 37244, 7940, 1120, 224, 48, 12, 16; 1404, 379488, 404148, 103436, 20216, 3316, 600, 132, 20, 16; 1896, 868460, 923656, 252096, 49848, 7916, 1744, 276, 84; . . CROSSREFS Cf. A360351 (vertices), A360352 (regions), A360353 (edges), A360354 (k-gons), A360350 (distinct circles), A359935. Sequence in context: A270465 A270980 A373109 * A270317 A270329 A270626 Adjacent sequences: A360351 A360352 A360353 * A360355 A360356 A360357 KEYWORD nonn,tabf AUTHOR Scott R. Shannon, Feb 04 2023 STATUS approved

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Last modified July 18 09:18 EDT 2024. Contains 374378 sequences. (Running on oeis4.)