OFFSET
3,1
COMMENTS
See A350000 for further details and images of the n-gons.
LINKS
Scott R. Shannon, Illustration of T(10,1).
Scott R. Shannon, Illustration of T(10,2).
Scott R. Shannon, Illustration of T(10,3).
Scott R. Shannon, Illustration of T(11,1).
Scott R. Shannon, Illustration of T(11,2).
Scott R. Shannon, Illustration of T(11,3).
EXAMPLE
The table begins:
.
| Number of vertices after k generations
n\k | 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ...
----------------------------------------------------------------------------------
3 | 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, ...
4 | 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, ...
5 | 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, ...
6 | 6, 19, 25, 25, 25, 25, 25, 25, 25, 25, ...
7 | 7, 42, 119, 231, 378, 560, 777, 1029, 1316, 1638, ...
8 | 8, 57, 81, 81, 81, 81, 81, 81, 81, 81, ...
9 | 9, 135, 504, 1017, 1620, 2313, 3096, 3969, 4932, 5985, ...
10 | 10, 171, 311, 361, 411, 461, 511, 561, 611, 661, ...
11 | 11, 341, 1309, 2629, 4169, 5929, 7909, 10109, 12529, 1516, ...
12 | 12, 313, 481, 481, 481, 481, 481, 481, 481, 481, ...
13 | 13, 728, 3601, 8125, 13624, 20098, 27547, 35971, 45370, 55744, ...
14 | 14, 771, 1639, 2129, 2619, 3109, 3599, 4089, 4579, 5069, ...
15 | 15, 1380, 5985, 13125, 22185, 32970, 45480, 59715, 75675, 93360, ...
16 | 16, 1393, 3329, 4257, 4897, 5537, 6177, 6817, 7457, 8097, ...
17 | 17, 2397, 12070, 28628, 50558, 77758, 110228, 147968, 190978, 239258, ...
18 | 18, 1855, 4033, 5815, 7363, 8713, 10063, 11413, 12763, 14113, ...
19 | 19, 3895, 19418, 44992, 77786, 117800, 165034, 219488, 281162, 350056, ...
20 | 20, 3861, 11261, 16641, 20741, 24841, 28941, 33041, 37141, 41241, ...
21 | 21, 6006, 26019, 55734, 92484, 136269, 187089, 244944, 309834, 381759, ...
22 | 22, 5963, 18107, 27413, 34343, 41273, 48203, 55133, 62063, 68993, ...
.
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Scott R. Shannon and N. J. A. Sloane, Jan 01 2022
STATUS
approved