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

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =9a(5) =10a(6) =14a(7) =28a(8) =34a(9) =35a(10) =42a(11) =90a(12) =117a(13) =125a(14) =126a(15) =132a(16) =297a(17) =407a(18) =451a(19) =461a(20) =462a(21) =429a(22) =1001a(23) =1430a(24) =1638a(25) =1703a(26) =1715a(27) =1716a(28) =1430a(29) =3432