This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A367322 #17 Jan 06 2024 12:01:01 %S A367322 3,10,5,58,37,10,178,257,121,19,558,817,1055,301,42,1255,2757,3506, %T A367322 1753,708,57,2532,4825,10410,6913,5369,1145,135,4786,12293,21111, %U A367322 17713,17417,8417,2395,171,7804,19241,43740,38497,47796,29121,16434,3581,341 %N 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. %C A367322 See A367323 and the cross references for further images of the n-gons. %H A367322 Scott R. Shannon, <a href="/A367322/a367322.png">Image for T(12,2)</a>. %H A367322 Scott R. Shannon, <a href="/A367322/a367322_1.png">Image for T(23,1)</a>. %F A367322 T(n,k) = A367324(n,k) - A367323(n,k) + 1 (Euler). %e A367322 The table begins: %e A367322 3, 10, 58, 178, 558, 1255, 2532, 4786, 7804, 12292, 18966, 28540, 39117, 56107, ... %e A367322 5, 37, 257, 817, 2757, 4825, 12293, 19241, 33549, 49577, 87685, 101981, 178465, ... %e A367322 10, 121, 1055, 3506, 10410, 21111, 43740, 74526, 124490, 190291, 288190, ... %e A367322 19, 301, 1753, 6913, 17713, 38497, 80473, 139927, 225595, 356329, 549967, ... %e A367322 42, 708, 5369, 17417, 47796, 99261, 194278, 331955, 546805, 833946, 1245314, ... %e A367322 57, 1145, 8417, 29121, 80345, 167105, 333297, 570969, 939113, 1441153, 2153937, ... %e A367322 135, 2395, 16434, 53155, 141147, 293374, 565767, 966493, 1580940, 2411533, ... %e A367322 171, 3581, 23651, 80191, 213041, 444251, 862711, 1481141, 2413721, 3701951, ... %e A367322 341, 6062, 39248, 126061, 329131, 684223, 1307845, 2233815, 3639020, 5549952, ... %e A367322 313, 7513, 47293, 167941, 450457, 931345, 1830625, 3132349, 5103589, 7825201, ... %e A367322 728, 12845, 79859, 255711, 660140, 1372008, 2608476, 4454477, 7236853, ... %e A367322 771, 16871, 103517, 343855, 881959, 1847525, 3504971, 6013953, 9739227, ... %e A367322 1380, 24136, 145635, 465721, 1192710, 2478121, 4694040, 8014891, 12995535, ... %e A367322 1393, 30305, 182785, 602337, 1533681, 3211873, 6067041, 10402769, 16824161, ... %e A367322 2397, 41583, 245684, 783803, 1995341, 4145230, 7829333, 13366897, ... %e A367322 1855, 46801, 291637, 967123, 2476873, 5166055, 9798175, ... %e A367322 3895, 67090, 389690, 1241765, 3146533, 6535659, 12317567, ... %e A367322 3861, 80921, 466141, 1522001, 3840181, 8027441, 15094521, ... %e A367322 6006, 102817, 589029, 1875511, 4734786, 9833104, ... %e A367322 5963, 122849, 694387, 2259005, 5671887, 11852105, ... %e A367322 8878, 151180, 856589, 2725041, 6858600, 14242153, ... %e A367322 7321, 169297, 979777, 3205921, 8068321, ... %e A367322 12675, 214851, 1206050, 3834451, 9626475, ... %e A367322 . %e A367322 . %e A367322 . %Y A367322 Cf. A367323 (regions), A367324 (edges), A274585 (1st row), A331449 (2nd row), A330847 (3rd row), A330846 (4th row), A333113 (5th row), A333109 (6th row), A332428 (7th row), A332418 (8th row), A007569 (1st column). %K A367322 nonn,tabl %O A367322 3,1 %A A367322 _Scott R. Shannon_ and _N. J. A. Sloane_, Nov 14 2023