A367304 Table read by antidiagonals: Place k equally spaced points on each side of a regular n-gon and join every pair of these n*k points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of regions in the resulting planar graph.
1, 4, 1, 27, 8, 1, 130, 88, 16, 1, 385, 444, 246, 30, 1, 1044, 1544, 1376, 492, 57, 1, 2005, 3584, 4621, 2814, 1079, 88, 1, 4060, 8356, 11691, 9042, 6014, 1800, 163, 1, 6831, 14996, 25026, 23604, 20049, 10016, 3196, 230, 1, 11272, 26572, 47386, 50448, 50597, 34432, 17632, 4770, 386, 1
Offset: 3
Examples
The table begins: 1, 4, 27, 130, 385, 1044, 2005, 4060, 6831, 11272, 16819, 26436, 35737, 52147, ... 1, 8, 88, 444, 1544, 3584, 8356, 14996, 26572, 42144, 69988, 93264, 148364, ... 1, 16, 246, 1376, 4621, 11691, 25026, 47386, 82096, 133076, 204716, 301861, ... 1, 30, 492, 2814, 9042, 23604, 50448, 95244, 163890, 268848, 415146, 610476, ... 1, 57, 1079, 6014, 20049, 50597, 107171, 201916, 348559, 563375, 864977, ... 1, 88, 1800, 10016, 34432, 86360, 185856, 347976, 604248, 974184, 1502416, ... 1, 163, 3196, 17632, 58195, 146071, 308296, 578926, 997219, 1609453, 2467720, ... 1, 230, 4770, 26470, 89160, 222730, 474120, 887230, 1532880, 2470640, 3798120, ... 1, 386, 7525, 41053, 134729, 336678, 708753, 1327987, 2284151, 3682306, ... 1, 456, 9276, 56100, 187872, 468660, 1002300, 1873824, 3235104, 5214684, ... 1, 794, 15250, 82447, 269309, 670892, 1409630, 2637051, 4530891, ... 1, 966, 20286, 109956, 363552, 902174, 1904504, 3555020, 6119918, ... 1, 1471, 27811, 149266, 485761, 1207201, 2532751, 4732516, 8124511, ... . . .
Links
- Scott R. Shannon, Image for T(5,5).
- Scott R. Shannon, Image for T(7,4).
- Scott R. Shannon, Image for T(8,4).
- Scott R. Shannon, Image for T(12,3).
Comments