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

Terms

a(0) =1a(1) =3a(2) =2a(3) =15a(4) =20a(5) =4a(6) =105a(7) =210a(8) =84a(9) =8a(10) =945a(11) =2520a(12) =1512a(13) =288a(14) =16a(15) =10395a(16) =34650a(17) =27720a(18) =7920a(19) =880a(20) =32a(21) =135135a(22) =540540a(23) =540540a(24) =205920a(25) =34320a(26) =2496a(27) =64a(28) =2027025a(29) =9459450