A277265 - cp's OEIS frontend

A277265 Multi-table menage seating arrangements: T(n,k) for n,k >= 1 equals the number of ways to seat nk married couples at n unlabeled round tables with 2k unlabeled 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	1
3	0
4	2
5	12
6	2
7	9
8	1200
9	3280
10	12
11	44
12	498960
13	97193600
14	5972400
15	312
16	265
17	415981440
18	14591060915200
19	73866846715200
20	31918489344
21	9600
22	1854
23	615853022400
24	7390721380256614400
25	9022243072072662432000
26	287350869074488547328
27	393956489203200
28	416880
29	14833
30	1477095102362880

[0, 1, 0, 2, 12, 2, 9, 1200, 3280, 12, 44, 498960, 97193600, 5972400, 312, 265, 415981440, 14591060915200, 73866846715200, 31918489344, 9600, 1854, 615853022400, 7390721380256614400, 9022243072072662432000, 287350869074488547328, 393956489203200, 416880, 14833, 1477095102362880]

cp's OEIS Frontend

A277265 Multi-table menage seating arrangements: T(n,k) for n,k >= 1 equals the number of ways to seat nk married couples at n unlabeled round tables with 2k unlabeled 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

A277265 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 unlabeled round tables with 2*k unlabeled 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

A277265 Multi-table menage seating arrangements: T(n,k) for n,k >= 1 equals the number of ways to seat nk married couples at n unlabeled round tables with 2k unlabeled seats each, such that (i) the gender of persons alternates around each table; and (ii) spouses do not sit next to each other.