Triangle of Hankel transforms of certain binomial sums.

Terms

a(0) =1a(1) =2a(2) =-1a(3) =3a(4) =-6a(5) =-1a(6) =4a(7) =-20a(8) =-20a(9) =1a(10) =5a(11) =-50a(12) =-175a(13) =70a(14) =1a(15) =6a(16) =-105a(17) =-980a(18) =1764a(19) =252a(20) =-1a(21) =7a(22) =-196a(23) =-4116a(24) =24696a(25) =19404a(26) =-924a(27) =-1a(28) =8a(29) =-336