Expansion of the solution of a functional equation.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =8a(6) =17a(7) =38a(8) =87a(9) =203a(10) =482a(11) =1160a(12) =2822a(13) =6930a(14) =17157a(15) =42775a(16) =107300a(17) =270623a(18) =685842a(19) =1745651a(20) =4460450a(21) =11437423a(22) =29421695a(23) =75906148a(24) =196358971a(25) =509209381a(26) =1323524122a(27) =3447340550a(28) =8996802898a(29) =23522607256