Expansion of exp(exp(x)-1)/(2-exp(x)).

Terms

a(0) =1a(1) =2a(2) =7a(3) =33a(4) =198a(5) =1453a(6) =12669a(7) =128320a(8) =1482721a(9) =19260421a(10) =277913552a(11) =4410640919a(12) =76360030701