Array read by ascending antidiagonals: A(n,k) = numerator(binomial(n-1/2,k)) with k >=0.

Terms

a(0) =1a(1) =1a(2) =-1a(3) =1a(4) =1a(5) =3a(6) =1a(7) =3a(8) =-1a(9) =-5a(10) =1a(11) =5a(12) =3a(13) =1a(14) =35a(15) =1a(16) =7a(17) =15a(18) =-1a(19) =-5a(20) =-63a(21) =1a(22) =9a(23) =35a(24) =5a(25) =3a(26) =7a(27) =231a(28) =1a(29) =11