Triangle T(n,m)= binomial(2*n,m) + binomial(2*n,n-m) -binomial(2*n,n) read by rows.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =1a(8) =1a(9) =1a(10) =1a(11) =-6a(12) =-14a(13) =-6a(14) =1a(15) =1a(16) =-32a(17) =-87a(18) =-87a(19) =-32a(20) =1a(21) =1a(22) =-120a(23) =-363a(24) =-484a(25) =-363a(26) =-120a(27) =1a(28) =1a(29) =-415