Hankel transform of Sum_{k=0..floor(n/2)} binomial(2*k, k).

Terms

a(0) =1a(1) =2a(2) =0a(3) =0a(4) =-16a(5) =-32a(6) =-64a(7) =-128a(8) =0a(9) =0a(10) =1024a(11) =2048a(12) =4096a(13) =8192a(14) =0a(15) =0a(16) =-65536a(17) =-131072a(18) =-262144a(19) =-524288a(20) =0a(21) =0a(22) =4194304a(23) =8388608a(24) =16777216a(25) =33554432a(26) =0a(27) =0a(28) =-268435456a(29) =-536870912