Triangle, read by rows, T(n, k) = (2*n)!/((n-k)! * k!)^2 - (2*n)!/(n!)^2 + 1.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =19a(5) =1a(6) =1a(7) =161a(8) =161a(9) =1a(10) =1a(11) =1051a(12) =2451a(13) =1051a(14) =1a(15) =1a(16) =6049a(17) =24949a(18) =24949a(19) =6049a(20) =1a(21) =1a(22) =32341a(23) =206977a(24) =368677a(25) =206977a(26) =32341a(27) =1a(28) =1a(29) =164737