Expansion of limit b(n)/x^n where b(n) = b(n-1)^2 + b(n-1)*x, b(1) = x^2.

Terms

a(0) =1a(1) =1a(2) =1a(3) =3a(4) =4a(5) =6a(6) =12a(7) =21a(8) =33a(9) =53a(10) =90a(11) =151a(12) =253a(13) =426a(14) =701a(15) =1151a(16) =1900a(17) =3123a(18) =5162a(19) =8553a(20) =14092a(21) =23223a(22) =38296a(23) =62963a(24) =103458a(25) =170056a(26) =279140a(27) =457833a(28) =751033a(29) =1231671