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

Terms

a(0) =1a(1) =6a(2) =5a(3) =66a(4) =110a(5) =25a(6) =1056a(7) =2640a(8) =1200a(9) =125a(10) =22176a(11) =73920a(12) =50400a(13) =10500a(14) =625a(15) =576576a(16) =2402400a(17) =2184000a(18) =682500a(19) =81250a(20) =3125a(21) =17873856a(22) =89369280a(23) =101556000a(24) =42315000a(25) =7556250a(26) =581250a(27) =15625a(28) =643458816a(29) =3753509760