Number of binary rooted trees with n nodes and height at most 8.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =6a(6) =11a(7) =23a(8) =46a(9) =97a(10) =198a(11) =406a(12) =811a(13) =1613a(14) =3155a(15) =6141a(16) =11822a(17) =22652a(18) =43052a(19) =81441a(20) =153031a(21) =286187a(22) =532067a(23) =984509a(24) =1811933a(25) =3319129a(26) =6049533a(27) =10975090a(28) =19815546a(29) =35613904