Triangle read by rows: T(n, k) = 4^n*Sum_{j=0..k} (-1)^(k - j)*binomial(k, j)* Pochhammer(j/4, n).

Terms

a(0) =1a(1) =0a(2) =1a(3) =0a(4) =5a(5) =2a(6) =0a(7) =45a(8) =30a(9) =6a(10) =0a(11) =585a(12) =510a(13) =180a(14) =24a(15) =0a(16) =9945a(17) =10350a(18) =4950a(19) =1200a(20) =120a(21) =0a(22) =208845a(23) =247590a(24) =144900a(25) =48600a(26) =9000a(27) =720a(28) =0a(29) =5221125