Expansion of g.f. A(x) satisfying A(x)^3 = A( x*A(x)^2/(1 - A(x)) ).

Terms

a(0) =1a(1) =1a(2) =2a(3) =6a(4) =19a(5) =63a(6) =220a(7) =795a(8) =2942a(9) =11100a(10) =42547a(11) =165204a(12) =648423a(13) =2568522a(14) =10255044a(15) =41226054a(16) =166732446a(17) =677922831a(18) =2769487183a(19) =11362238976a(20) =46794199487a(21) =193387049685a(22) =801742251778