OFFSET
2,3
COMMENTS
Conjectures: for odd values of n all vertices are simple, other than those defining the diameters of the circles. For n > 2 and (n-2) mod 4 = 0, T(n,2) = n. For n mod 4 = 0, T(n,2) = k*n, k>=2. For odd n, T(n,2) = 0.
See A358782 for more images of the k-gons.
The author thanks Zach Shannon some of whose code was used in the generation of this sequence.
LINKS
Scott R. Shannon, Image for n = 13.
Scott R. Shannon, Image for n = 21.
FORMULA
Sum of row n = A358782(n).
EXAMPLE
The table begins:
1;
0, 7;
8, 4;
0, 40, 20, 6;
6, 72, 6, 0, 0, 0, 0, 0, 0, 0, 1;
0, 133, 98, 42, 7, 1;
16, 184, 56, 0, 8;
0, 342, 306, 99, 54, 0, 0, 1;
10, 510, 220, 60, 10, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
0, 693, 858, 231, 88, 11, 11, 0, 0, 1;
24, 924, 612, 120, 60;
0, 1469, 1560, 455, 299, 13, 0, 0, 13, 0, 0, 1;
14, 1806, 1428, 350, 98, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \\
0, 0, 0, 1;
0, 2550, 2910, 870, 405, 75, 60, 0, 0, 0, 0, 0, 0, 1;
32, 3280, 2000, 768, 352, 0, 16;
0, 4301, 4862, 1734, 680, 102, 34, 0, 17, 0, 17, 0, 0, 0, 0, 1;
18, 4878, 4482, 1332, 324, 54, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, \\
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
0, 6517, 7847, 2565, 1045, 190, 133, 19, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
80, 7340, 7040, 1920, 700, 0, 80;
0, 9723, 11487, 4515, 1491, 210, 168, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
.
.
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Scott R. Shannon, Dec 12 2022
STATUS
approved