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

Terms

a(0) =0a(1) =1a(2) =1a(3) =1a(4) =2a(5) =3a(6) =2a(7) =5a(8) =9a(9) =10a(10) =5a(11) =14a(12) =28a(13) =34a(14) =35a(15) =14a(16) =42a(17) =90a(18) =117a(19) =125a(20) =126a(21) =42a(22) =132a(23) =297a(24) =407a(25) =451a(26) =461a(27) =462a(28) =132a(29) =429