Triangle, read by rows, where T(n,k) = C(2^k,n-k) for n>=k>=0.

Terms

a(0) =1a(1) =1a(2) =1a(3) =0a(4) =2a(5) =1a(6) =0a(7) =1a(8) =4a(9) =1a(10) =0a(11) =0a(12) =6a(13) =8a(14) =1a(15) =0a(16) =0a(17) =4a(18) =28a(19) =16a(20) =1a(21) =0a(22) =0a(23) =1a(24) =56a(25) =120a(26) =32a(27) =1a(28) =0a(29) =0