a(n) = LCM(binomial(n,0), ..., binomial(n,n)) / binomial(n,floor(n/2)).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =3a(7) =3a(8) =4a(9) =2a(10) =10a(11) =5a(12) =30a(13) =15a(14) =7a(15) =7a(16) =56a(17) =28a(18) =252a(19) =126a(20) =60a(21) =30a(22) =330a(23) =165a(24) =396a(25) =198a(26) =286a(27) =143a(28) =2002a(29) =1001