Expansion of e.g.f. cos(x) * exp(exp(x) - 1).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =7a(6) =7a(7) =-47a(8) =-549a(9) =-4284a(10) =-30756a(11) =-218315a(12) =-1571731a(13) =-11603343a(14) =-88284675a(15) =-693810426a(16) =-5636074516a(17) =-47324368509a(18) =-410556832893