A277257 - cp's OEIS frontend

A277257 Multi-table menage seating arrangements: T(n,k) for n,k >= 1 equals the number of ways to seat nk married couples at n round tables with 2k seats each, such that (i) the gender of persons alternates around each table; and (ii) spouses do not sit next to each other.

n	a(n)
1	0
2	8
3	0
4	96
5	384
6	12
7	3456
8	460800
9	236160
10	96
11	168960
12	3065610240
13	125962905600
14	764467200
15	3120
16	12211200
17	51115799347200
18	453840358706380800
19	226918953109094400
20	6383697868800
21	115200
22	1196052480
23	1816224465420288000
24	6896429934345052028928000

[0, 8, 0, 96, 384, 12, 3456, 460800, 236160, 96, 168960, 3065610240, 125962905600, 764467200, 3120, 12211200, 51115799347200, 453840358706380800, 226918953109094400, 6383697868800, 115200, 1196052480, 1816224465420288000, 6896429934345052028928000]

cp's OEIS Frontend

A277257 Multi-table menage seating arrangements: T(n,k) for n,k >= 1 equals the number of ways to seat nk married couples at n round tables with 2k seats each, such that (i) the gender of persons alternates around each table; and (ii) spouses do not sit next to each other.

Table of values

List of values

cp's OEIS Frontend

A277257 Multi-table menage seating arrangements: T(n,k) for n,k >= 1 equals the number of ways to seat n*k married couples at n round tables with 2*k seats each, such that (i) the gender of persons alternates around each table; and (ii) spouses do not sit next to each other.

Table of values

List of values

A277257 Multi-table menage seating arrangements: T(n,k) for n,k >= 1 equals the number of ways to seat nk married couples at n round tables with 2k seats each, such that (i) the gender of persons alternates around each table; and (ii) spouses do not sit next to each other.