Triangle S(n,k) by rows: coefficients of 6^(n/2)*(x^(5/6)*d/dx)^n when n=0,2,4,6,...

Terms

a(0) =1a(1) =1a(2) =6a(3) =7a(4) =84a(5) =36a(6) =91a(7) =1638a(8) =1404a(9) =216a(10) =1729a(11) =41496a(12) =53352a(13) =16416a(14) =1296a(15) =43225a(16) =1296750a(17) =2223000a(18) =1026000a(19) =162000a(20) =7776a(21) =1339975a(22) =48239100a(23) =103369500a(24) =63612000a(25) =15066000a(26) =1446336a(27) =46656a(28) =49579075a(29) =2082321150