Number of Young tableaux of shape [n, floor(n/2)].

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =9a(5) =14a(6) =48a(7) =75a(8) =275a(9) =429a(10) =1638a(11) =2548a(12) =9996a(13) =15504a(14) =62016a(15) =95931a(16) =389367a(17) =600875a(18) =2466750a(19) =3798795a(20) =15737865a(21) =24192090a(22) =100975680a(23) =154969620a(24) =650872404a(25) =997490844a(26) =4211628008a(27) =6446369400a(28) =27341497800a(29) =41802112192