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.

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.

Terms

    a(0) =0a(1) =1a(2) =0a(3) =2a(4) =12a(5) =2a(6) =9a(7) =1200a(8) =3280a(9) =12a(10) =44a(11) =498960a(12) =97193600a(13) =5972400a(14) =312a(15) =265a(16) =415981440a(19) =31918489344a(20) =9600a(21) =1854a(22) =615853022400a(27) =416880a(28) =14833

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