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 A356044 #47 Aug 17 2022 10:14:48 %S A356044 1,6,4,19,32,11,30,96,90,24,61,188,316,246,50,78,332,580,672,462,80, %T A356044 127,460,1081,1476,1590,856,154,150,712,1510,2442,2982,2688,1476,220, %U A356044 217,916,2306,3528,5370,5504,4861,2420,375,246,1204,2930,5310,7742,9440,9288,7360,3630,444 %N A356044 Table read by antidiagonals: T(n,k) (n >= 3, k >= 1) is the number of regions formed in a regular n-gon by straight line segments when connecting the n corner vertices to the points dividing the sides into k equal parts. %H A356044 Scott R. Shannon, <a href="/A356044/a356044.jpg">Image of T(5,9) = 3961</a>. %H A356044 Scott R. Shannon, <a href="/A356044/a356044_1.jpg">Image of T(6,8) = 7176</a>. %H A356044 Scott R. Shannon, <a href="/A356044/a356044_2.jpg">Image of T(7,5) = 5370</a>. %H A356044 Scott R. Shannon, <a href="/A356044/a356044_3.jpg">Image of T(8,4) = 5504</a>. %H A356044 Scott R. Shannon, <a href="/A356044/a356044_4.jpg">Image of T(12,4) = 32532</a>. %H A356044 Scott R. Shannon, <a href="/A356044/a356044_5.jpg">Image of T(14,6) = 160874</a>. %H A356044 Scott R. Shannon, <a href="/A356044/a356044.txt">Table for n = 3..25</a>. %F A356044 T(n,1) = A007678(n). %F A356044 T(3,k) = A092098(k). %F A356044 T(4,k) = A108914(k). %e A356044 The table begins: %e A356044 1, 6, 19, 30, 61, 78, 127, 150, 217, 246,... %e A356044 4, 32, 96, 188, 332, 460, 712, 916, 1204, 1488,... %e A356044 11, 90, 316, 580, 1081, 1510, 2306, 2930, 3961, 4780,... %e A356044 24, 246, 672, 1476, 2442, 3528, 5310, 7176, 9072, 11352,... %e A356044 50, 462, 1590, 2982, 5370, 7742, 11390, 14742, 19650, 23982,... %e A356044 80, 856, 2688, 5504, 9440, 13968, 20216, 27008, 34888, 43792,... %e A356044 154, 1476, 4861, 9288, 16408, 23886, 34741, 45324, 59860, 73548,... %e A356044 220, 2420, 7360, 14980, 25480, 37690, 54180, 72280, 93400, 116970,... %e A356044 375, 3630, 11661, 22374, 39051, 57222, 82545, 108174, 142143, 175230,... %e A356044 444, 5400, 15864, 32532, 55500, 82032, 118056, 157236, 203148, 254184,... %e A356044 781, 7566, 23804, 45890, 79431, 116818, 167662, 220350, 288497, 356486,... %e A356044 952, 10668, 31682, 63700, 107184, 160874, 226996, 303324, 390950, 489860,... %e A356044 1456, 14070, 43546, 84270, 144976, 213720, 305656, 402510, 525586, 650550,... %e A356044 1696, 18832, 55792, 111840, 187776, 282000, 397072, 530432, 683616, 855920,... %e A356044 2500, 24072, 73645, 142732, 244410, 361012, 514795, 678912, 884800, 1096432,... %e A356044 2466, 30078, 91080, 181746, 306522, 458334, 647766, 864234, 1114668, 1394586,... %e A356044 4029, 38646, 117079, 227278, 387753, 573534, 816051, 1077414, 1401973, 1738918,... %e A356044 . %e A356044 . %e A356044 See the attached text file for more examples and the cross references for further images. %Y A356044 Cf. A007678 (first column), A092098 (first row), A108914 (second row). %K A356044 nonn,tabl %O A356044 3,2 %A A356044 _Scott R. Shannon_, Jul 31 2022