A367322 Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of vertices in the resulting planar graph.
3, 10, 5, 58, 37, 10, 178, 257, 121, 19, 558, 817, 1055, 301, 42, 1255, 2757, 3506, 1753, 708, 57, 2532, 4825, 10410, 6913, 5369, 1145, 135, 4786, 12293, 21111, 17713, 17417, 8417, 2395, 171, 7804, 19241, 43740, 38497, 47796, 29121, 16434, 3581, 341
Offset: 3
Examples
The table begins: 3, 10, 58, 178, 558, 1255, 2532, 4786, 7804, 12292, 18966, 28540, 39117, 56107, ... 5, 37, 257, 817, 2757, 4825, 12293, 19241, 33549, 49577, 87685, 101981, 178465, ... 10, 121, 1055, 3506, 10410, 21111, 43740, 74526, 124490, 190291, 288190, ... 19, 301, 1753, 6913, 17713, 38497, 80473, 139927, 225595, 356329, 549967, ... 42, 708, 5369, 17417, 47796, 99261, 194278, 331955, 546805, 833946, 1245314, ... 57, 1145, 8417, 29121, 80345, 167105, 333297, 570969, 939113, 1441153, 2153937, ... 135, 2395, 16434, 53155, 141147, 293374, 565767, 966493, 1580940, 2411533, ... 171, 3581, 23651, 80191, 213041, 444251, 862711, 1481141, 2413721, 3701951, ... 341, 6062, 39248, 126061, 329131, 684223, 1307845, 2233815, 3639020, 5549952, ... 313, 7513, 47293, 167941, 450457, 931345, 1830625, 3132349, 5103589, 7825201, ... 728, 12845, 79859, 255711, 660140, 1372008, 2608476, 4454477, 7236853, ... 771, 16871, 103517, 343855, 881959, 1847525, 3504971, 6013953, 9739227, ... 1380, 24136, 145635, 465721, 1192710, 2478121, 4694040, 8014891, 12995535, ... 1393, 30305, 182785, 602337, 1533681, 3211873, 6067041, 10402769, 16824161, ... 2397, 41583, 245684, 783803, 1995341, 4145230, 7829333, 13366897, ... 1855, 46801, 291637, 967123, 2476873, 5166055, 9798175, ... 3895, 67090, 389690, 1241765, 3146533, 6535659, 12317567, ... 3861, 80921, 466141, 1522001, 3840181, 8027441, 15094521, ... 6006, 102817, 589029, 1875511, 4734786, 9833104, ... 5963, 122849, 694387, 2259005, 5671887, 11852105, ... 8878, 151180, 856589, 2725041, 6858600, 14242153, ... 7321, 169297, 979777, 3205921, 8068321, ... 12675, 214851, 1206050, 3834451, 9626475, ... . . .
Links
- Scott R. Shannon, Image for T(12,2).
- Scott R. Shannon, Image for T(23,1).
Comments