Generalized Catalan Numbers x^3*A(x)^2 + (x-1)*A(x) + 1 =0.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =7a(6) =13a(7) =26a(8) =52a(9) =104a(10) =212a(11) =438a(12) =910a(13) =1903a(14) =4009a(15) =8494a(16) =18080a(17) =38656a(18) =82988a(19) =178802a(20) =386490a(21) =837928a(22) =1821664a(23) =3970282a(24) =8673258a(25) =18987930a(26) =41652382a(27) =91539466a(28) =201525238a(29) =444379907