Triangle S(n,k) by rows: coefficients of 6^((n-1)/2)*(x^(1/6)*d/dx)^n when n=1,3,5,...

Terms

a(0) =1a(1) =7a(2) =6a(3) =91a(4) =156a(5) =36a(6) =1729a(7) =4446a(8) =2052a(9) =216a(10) =43225a(11) =148200a(12) =102600a(13) =21600a(14) =1296a(15) =1339975a(16) =5742750a(17) =5301000a(18) =1674000a(19) =200880a(20) =7776a(21) =49579075a(22) =254978100a(23) =294205500a(24) =123876000a(25) =22297680a(26) =1726272a(27) =46656a(28) =2131900225a(29) =12791401350