Generalized Catalan Numbers x^2*A(x)^2 -(1-x+x^2+x^3+x^4)*A(x) + 1 =0.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =4a(7) =8a(8) =16a(9) =32a(10) =65a(11) =133a(12) =274a(13) =568a(14) =1184a(15) =2481a(16) =5223a(17) =11042a(18) =23434a(19) =49908a(20) =106633a(21) =228505a(22) =490999a(23) =1057683a(24) =2283701a(25) =4941502a(26) =10713941a(27) =23272929a(28) =50642017a(29) =110377543