Expansion of g.f. A(x) satisfies A( x*A(x)^3 + x*A(x)^4 ) = A(x)^4.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =7a(6) =22a(7) =57a(8) =131a(9) =298a(10) =738a(11) =2003a(12) =5600a(13) =15380a(14) =41224a(15) =109769a(16) =296010a(17) =813333a(18) =2261818a(19) =6307070a(20) =17560050a(21) =48877852a(22) =136457322a(23) =382803675a(24) =1078562370a(25) =3047295816a(26) =8623046992a(27) =24432992884a(28) =69345396556a(29) =197211214852