Triangle of binomial sums read by rows: T(n,k) = sum(C(2n-2k-i,i) * C(2k-i,i), i=0..min(k,n-k)).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =1a(6) =1a(7) =4a(8) =4a(9) =1a(10) =1a(11) =6a(12) =11a(13) =6a(14) =1a(15) =1a(16) =8a(17) =22a(18) =22a(19) =8a(20) =1a(21) =1a(22) =10a(23) =37a(24) =63a(25) =37a(26) =10a(27) =1a(28) =1a(29) =12