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A359862 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 a 2 x n square grid of points using only a compass. 6
3, 0, 16, 29, 0, 102, 117, 10, 2, 4, 368, 402, 64, 26, 1, 12, 860, 903, 252, 52, 0, 2, 12, 1812, 2028, 520, 110, 4, 3, 24, 3168, 3841, 960, 204, 8, 6, 32, 5420, 6804, 1748, 362, 24, 11, 44, 8388, 10987, 2826, 552, 46, 14, 56, 12808, 17122, 4448, 922, 72, 17, 64, 18348, 25257, 6594, 1370, 82, 26 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
See A359859 and A359860 for further details and images of the circles.
LINKS
Scott R. Shannon, Image for n = 7.
FORMULA
Sum of row n = A359860(n).
EXAMPLE
The table begins:
3;
0, 16, 29;
0, 102, 117, 10, 2;
4, 368, 402, 64, 26, 1;
12, 860, 903, 252, 52, 0, 2;
12, 1812, 2028, 520, 110, 4, 3;
24, 3168, 3841, 960, 204, 8, 6;
32, 5420, 6804, 1748, 362, 24, 11;
44, 8388, 10987, 2826, 552, 46, 14;
56, 12808, 17122, 4448, 922, 72, 17;
64, 18348, 25257, 6594, 1370, 82, 26;
...
CROSSREFS
Cf. A359859 (vertices), A359860 (regions), A359861 (edges), A001859, A359258.
Sequence in context: A365972 A290580 A038122 * A143779 A240244 A036968
KEYWORD
nonn,tabf
AUTHOR
Scott R. Shannon, Jan 16 2023
STATUS
approved

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Last modified July 20 15:33 EDT 2024. Contains 374459 sequences. (Running on oeis4.)