Triangle S(n,k) by rows: coefficients of 4^((n-1)/2)*(x^(1/4)*d/dx)^n when n=1,3,5,...

Terms

a(0) =1a(1) =5a(2) =4a(3) =45a(4) =72a(5) =16a(6) =585a(7) =1404a(8) =624a(9) =64a(10) =9945a(11) =31824a(12) =21216a(13) =4352a(14) =256a(15) =208845a(16) =835380a(17) =742560a(18) =228480a(19) =26880a(20) =1024a(21) =5221125a(22) =25061400a(23) =27846000a(24) =11424000a(25) =2016000a(26) =153600a(27) =4096a(28) =151412625a(29) =847910700