Triangle read by rows: T(n,k) = abs(C(n-k, k)*hypergeom([k-n/2, k-n/2+1/2], [1], -4)).

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =5a(5) =2a(6) =5a(7) =3a(8) =1a(9) =11a(10) =20a(11) =3a(12) =41a(13) =25a(14) =6a(15) =1a(16) =29a(17) =66a(18) =50a(19) =4a(20) =125a(21) =287a(22) =75a(23) =10a(24) =1a(25) =365a(26) =232a(27) =231a(28) =100a(29) =5