Expansion of e.g.f. cos(x)^exp(x).

Terms

a(0) =1a(1) =0a(2) =-1a(3) =-3a(4) =-5a(5) =10a(6) =134a(7) =742a(8) =2325a(9) =-2820a(10) =-118756a(11) =-1138368a(12) =-7132025a(13) =-20945990a(14) =196411214a(15) =4438271692a(16) =50498101545a(17) =400644382200