Series reversion of x*c(x)/(1 - 2*x), c(x) the g.f. of A000108.

Terms

a(0) =0a(1) =1a(2) =-3a(3) =10a(4) =-36a(5) =136a(6) =-532a(7) =2136a(8) =-8752a(9) =36448a(10) =-153824a(11) =656448a(12) =-2827904a(13) =12281088a(14) =-53709632a(15) =236337536a(16) =-1045603072a(17) =4648306176a(18) =-20753783296a(19) =93022530560a(20) =-418415228928