Expansion of solution to an algebraic functional equation.

Terms

a(0) =1a(1) =3a(2) =10a(3) =33a(4) =110a(5) =366a(6) =1219a(7) =4059a(8) =13518a(9) =45018a(10) =149924a(11) =499290a(12) =1662787a(13) =5537577a(14) =18441799a(15) =61416729a(16) =204536183a(17) =681166986a(18) =2268490929a(19) =7554756990a(20) =25159612832a(21) =83789077212a(22) =279042826065a(23) =929296530558