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.

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.

Terms

    a(0) =0a(1) =8a(2) =0a(3) =96a(4) =384a(5) =12a(6) =3456a(7) =460800a(8) =236160a(9) =96a(10) =168960a(11) =3065610240a(12) =125962905600a(13) =764467200a(14) =3120a(15) =12211200a(20) =115200a(21) =1196052480

External references