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A350502
Table read by antidiagonals: T(n,k) (n >= 3, k >= 0) is the number of edges in a regular n-gon after k generations of mitosis.
2
3, 3, 4, 3, 8, 5, 3, 8, 20, 6, 3, 8, 35, 42, 7, 3, 8, 50, 66, 91, 8, 3, 8, 65, 66, 308, 136, 9, 3, 8, 80, 66, 630, 232, 288, 10, 3, 8, 95, 66, 1057, 232, 1305, 390, 11, 3, 8, 110, 66, 1589, 232, 2808, 900, 715, 12, 3, 8, 125, 66, 2226, 232, 4581, 1050, 3399, 756, 13
OFFSET
3,1
COMMENTS
See A350000 for further details and images of the n-gons.
EXAMPLE
The table begins:
.
| Number of edges after k generations
n\k | 0, 1, 2, 3, 4, 5, 6, 7, 8, ...
----------------------------------------------------------------------------------
3 | 3, 3, 3, 3, 3, 3, 3, 3, 3, ...
4 | 4, 8, 8, 8, 8, 8, 8, 8, 8, ...
5 | 5, 20, 35, 50, 65, 80, 95, 110, 125, ...
6 | 6, 42, 66, 66, 66, 66, 66, 66, 66, ...
7 | 7, 91, 308, 630, 1057, 1589, 2226, 2968, 3815, ...
8 | 8, 136, 232, 232, 232, 232, 232, 232, 232, ...
9 | 9, 288, 1305, 2808, 4581, 6624, 8937, 11520, 14373, ...
10 | 10, 390, 900, 1050, 1200, 1350, 1500, 1650, 1800, ...
11 | 11, 715, 3399, 7271, 11803, 16995, 22847, 29359, 36531, ...
12 | 12, 756, 1428, 1428, 1428, 1428, 1428, 1428, 1428, ...
13 | 13, 1508, 9061, 22243, 38350, 57382, 79339, 104221, 132028, ...
14 | 14, 1722, 4704, 6174, 7644, 9114, 10584, 12054, 13524, ...
15 | 15, 2835, 15345, 35880, 62370, 94035, 130875, 172890, 220080, ...
16 | 16, 3088, 9424, 12496, 14416, 16336, 18256, 20176, 22096, ...
17 | 17, 4896, 30294, 77758, 141440, 220932, 316234, 427346, 554268, ...
18 | 18, 4320, 11376, 16686, 21528, 25578, 29628, 33678, 37728, ...
19 | 19, 7923, 48773, 122607, 218101, 335255, 474069, 634543, 816677, ...
20 | 20, 8360, 30840, 48260, 60560, 72860, 85160, 97460, 109760, ...
21 | 21, 12180, 66738, 153069, 260505, 389046, 538692, 709443, 901299, ...
22 | 22, 12782, 49148, 79442, 100232, 121022, 141812, 162602, 183392, ...
.
CROSSREFS
Cf. A350000 (n-gons), A350501 (vertices), A135565 (column 1), A349968 (column 2), A331450, A349967.
Sequence in context: A027011 A339400 A267048 * A326401 A326415 A343443
KEYWORD
nonn,tabl
AUTHOR
STATUS
approved