Triangle S(n,k) by rows: coefficients of 4^(n/2)*(x^(3/4)*d/dx)^n when n=0,2,4,6,...

Terms

a(0) =1a(1) =1a(2) =4a(3) =5a(4) =40a(5) =16a(6) =45a(7) =540a(8) =432a(9) =64a(10) =585a(11) =9360a(12) =11232a(13) =3328a(14) =256a(15) =9945a(16) =198900a(17) =318240a(18) =141440a(19) =21760a(20) =1024a(21) =208845a(22) =5012280a(23) =10024560a(24) =5940480a(25) =1370880a(26) =129024a(27) =4096a(28) =5221125a(29) =146191500