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

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =1a(6) =1a(7) =2a(8) =4a(9) =7a(10) =11a(11) =17a(12) =27a(13) =44a(14) =73a(15) =122a(16) =204a(17) =340a(18) =566a(19) =945a(20) =1586a(21) =2674a(22) =4521a(23) =7656a(24) =12982a(25) =22047a(26) =37509a(27) =63934a(28) =109166a(29) =186685