Triangle T(n,k) read by rows: T(n,k) = Product_{j=0..n-1} binomial(n+j,k)/binomial(k+j,k).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =1a(6) =1a(7) =10a(8) =10a(9) =1a(10) =1a(11) =35a(12) =105a(13) =35a(14) =1a(15) =1a(16) =126a(17) =1176a(18) =1176a(19) =126a(20) =1a(21) =1a(22) =462a(23) =13860a(24) =41580a(25) =13860a(26) =462a(27) =1a(28) =1a(29) =1716