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A350501
Table read by antidiagonals: T(n,k) (n >= 3, k >= 0) is the number of vertices in a regular n-gon after k generations of mitosis.
3
3, 3, 4, 3, 5, 5, 3, 5, 10, 6, 3, 5, 15, 19, 7, 3, 5, 20, 25, 42, 8, 3, 5, 25, 25, 119, 57, 9, 3, 5, 30, 25, 231, 81, 135, 10, 3, 5, 35, 25, 378, 81, 504, 171, 11, 3, 5, 40, 25, 560, 81, 1017, 311, 341, 12, 3, 5, 45, 25, 777, 81, 1620, 361, 1309, 313, 13
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
Cf. A350000 (n-gons), A350502 (edges), A007569 (column 1), A349967 (column 2), A331450, A349968.
Sequence in context: A138372 A316662 A123708 * A102302 A130896 A254279
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved