Generalized Catalan Numbers x^2*A(x)^2 -(1-x+x^2+x^3+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) =8a(10) =16a(11) =32a(12) =64a(13) =128a(14) =257a(15) =517a(16) =1042a(17) =2104a(18) =4256a(19) =8624a(20) =17504a(21) =35585a(22) =72455a(23) =147746a(24) =301706a(25) =616948a(26) =1263240a(27) =2589840a(28) =5316033a(29) =10924681