Expansion of g.f. A(x) satisfying 1 = Sum_{n>=0} (-x)^n * A(x)^n / Product_{k=1..n+1} (1 + (-x)^k).

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =9a(6) =18a(7) =37a(8) =78a(9) =168a(10) =367a(11) =809a(12) =1800a(13) =4040a(14) =9136a(15) =20798a(16) =47627a(17) =109630a(18) =253506a(19) =588602a(20) =1371688a(21) =3207309a(22) =7522302a(23) =17691875a(24) =41716878a(25) =98600132a(26) =233557375a(27) =554358994a(28) =1318282031a(29) =3140435548