T(n,k) = 2^k*binomial(n,2k+1), where 0 <= k <= floor((n-1)/2), n >= 1.

Terms

a(0) =1a(1) =2a(2) =3a(3) =2a(4) =4a(5) =8a(6) =5a(7) =20a(8) =4a(9) =6a(10) =40a(11) =24a(12) =7a(13) =70a(14) =84a(15) =8a(16) =8a(17) =112a(18) =224a(19) =64a(20) =9a(21) =168a(22) =504a(23) =288a(24) =16a(25) =10a(26) =240a(27) =1008a(28) =960a(29) =160