A277256 - cp's OEIS frontend

A277256 Multi-table menage numbers T(n,k) for n,k >= 1 equals the number of ways to seat the gentlemen from 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; provided that the ladies are already properly seated (i.e., no two ladies sit next to each other).

n	a(n)
1	0
2	1
3	0
4	2
5	4
6	1
7	9
8	80
9	82
10	2
11	44
12	4752
13	43390
14	4740
15	13
16	265
17	440192
18	59216968
19	59216648
20	439794
21	80
22	1854
23	59245120
24	164806652728
25	2649391488016
26	164806435822
27	59216644
28	579
29	14833
30	10930514688
31	817056761525488
32	312400218967336992
33	312400218673012936
34	817056406224656
35	10927434466
36	4738

[0, 1, 0, 2, 4, 1, 9, 80, 82, 2, 44, 4752, 43390, 4740, 13, 265, 440192, 59216968, 59216648, 439794, 80, 1854, 59245120, 164806652728, 2649391488016, 164806435822, 59216644, 579, 14833, 10930514688, 817056761525488, 312400218967336992, 312400218673012936, 817056406224656, 10927434466, 4738]

cp's OEIS Frontend

Table of values

List of values