Expansion of 1/(1+x*c(x)), c(x) the g.f. of Catalan numbers A000108.

Terms

a(0) =1a(1) =-1a(2) =0a(3) =-1a(4) =-2a(5) =-6a(6) =-18a(7) =-57a(8) =-186a(9) =-622a(10) =-2120a(11) =-7338a(12) =-25724a(13) =-91144a(14) =-325878a(15) =-1174281a(16) =-4260282a(17) =-15548694a(18) =-57048048a(19) =-210295326a(20) =-778483932a(21) =-2892818244a(22) =-10786724388a(23) =-40347919626a(24) =-151355847012a(25) =-569274150156