Expansion of Lambert W function in powers of log(log(x))/log(x).

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =9a(5) =6a(6) =6a(7) =44a(8) =72a(9) =24a(10) =24a(11) =250a(12) =700a(13) =600a(14) =120a(15) =120a(16) =1644a(17) =6750a(18) =10200a(19) =5400a(20) =720a(21) =720a(22) =12348a(23) =68208a(24) =154350a(25) =147000a(26) =52920a(27) =5040a(28) =5040a(29) =104544