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

Terms

a(0) =1a(1) =4a(2) =3a(3) =4a(4) =24a(5) =9a(6) =28a(7) =252a(8) =189a(9) =27a(10) =280a(11) =3360a(12) =3780a(13) =1080a(14) =81a(15) =3640a(16) =54600a(17) =81900a(18) =35100a(19) =5265a(20) =243a(21) =1106560a(22) =4979520a(23) =5335200a(24) =2134080a(25) =369360a(26) =27702a(27) =729a(28) =24344320a(29) =127807680