OFFSET
3,2
COMMENTS
Conjecture: the only n-gons that contain non-simple intersections are the 3-gon (triangle), 4-gon (square), and 6-gon (hexagon).
LINKS
Scott R. Shannon, Extended table for n = 3..50, k = 0..75.
Scott R. Shannon, Image of T(5,20) = 2001.
Scott R. Shannon, Image of T(7,10) = 701.
FORMULA
EXAMPLE
The table begins:
1, 4, 13, 28, 49, 70, 109, 148, 181, 244, 301, 334, 433, 508, 565, ...
1, 5, 17, 37, 65, 93, 145, 181, 257, 309, 401, 457, 577, 653, 785, ...
1, 6, 21, 46, 81, 126, 181, 246, 321, 406, 501, 606, 721, 846, 981, ...
1, 7, 25, 55, 97, 151, 217, 295, 385, 475, 601, 715, 865, 1015, 1159, ...
1, 8, 29, 64, 113, 176, 253, 344, 449, 568, 701, 848, 1009, 1184, 1373, ...
1, 9, 33, 73, 129, 201, 289, 393, 513, 649, 801, 969, 1153, 1353, 1569, ...
1, 10, 37, 82, 145, 226, 325, 442, 577, 730, 901, 1090, 1297, 1522, 1765, ...
1, 11, 41, 91, 161, 251, 361, 491, 641, 811, 1001, 1211, 1441, 1691, 1961, ...
1, 12, 45, 100, 177, 276, 397, 540, 705, 892, 1101, 1332, 1585, 1860, 2157, ...
1, 13, 49, 109, 193, 301, 433, 589, 769, 973, 1201, 1453, 1729, 2029, 2353, ...
1, 14, 53, 118, 209, 326, 469, 638, 833, 1054, 1301, 1574, 1873, 2198, 2549, ...
1, 15, 57, 127, 225, 351, 505, 687, 897, 1135, 1401, 1695, 2017, 2367, 2745, ...
1, 16, 61, 136, 241, 376, 541, 736, 961, 1216, 1501, 1816, 2161, 2536, 2941, ...
...
See the attached text file for further examples.
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Scott R. Shannon, Sep 18 2022
STATUS
approved