Triangle read by rows: T(n,k) = binomial(2k+2,k+1)*binomial(n,k)/(k+2) (0 <= k <= n).

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =4a(5) =5a(6) =1a(7) =6a(8) =15a(9) =14a(10) =1a(11) =8a(12) =30a(13) =56a(14) =42a(15) =1a(16) =10a(17) =50a(18) =140a(19) =210a(20) =132a(21) =1a(22) =12a(23) =75a(24) =280a(25) =630a(26) =792a(27) =429a(28) =1a(29) =14