Expansion of e.g.f. (1+x)^(exp(x)).

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =18a(5) =75a(6) =295a(7) =1575a(8) =7196a(9) =48993a(10) =230413a(11) =2164767a(12) =8055938a(13) =139431149a(14) =70125991a(15) =14201296057a(16) =-77573062280