Generalized Catalan Numbers x^4*A(x)^2 -(1-x+x^4+x^5+x^6+x^7)*A(x) + 1 =0.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =1a(8) =2a(9) =4a(10) =7a(11) =11a(12) =17a(13) =27a(14) =44a(15) =72a(16) =118a(17) =194a(18) =320a(19) =528a(20) =871a(21) =1439a(22) =2385a(23) =3965a(24) =6605a(25) =11017a(26) =18399a(27) =30771a(28) =51538a(29) =86440