T(n,k)=S(2n+2,n-1,k-1), 0<=k<=n, n >= 0, array S as in A050157.

Terms

a(0) =0a(1) =1a(2) =1a(3) =4a(4) =5a(5) =6a(6) =14a(7) =20a(8) =27a(9) =28a(10) =48a(11) =75a(12) =110a(13) =119a(14) =120a(15) =165a(16) =275a(17) =429a(18) =483a(19) =494a(20) =495a(21) =572a(22) =1001a(23) =1638a(24) =1911a(25) =1988a(26) =2001a(27) =2002a(28) =2002a(29) =3640