Number of binary rooted trees with n nodes and height at most 6.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =6a(6) =11a(7) =22a(8) =39a(9) =70a(10) =118a(11) =200a(12) =324a(13) =526a(14) =825a(15) =1290a(16) =1958a(17) =2952a(18) =4335a(19) =6305a(20) =8948a(21) =12547a(22) =17183a(23) =23200a(24) =30593a(25) =39697a(26) =50305a(27) =62641a(28) =76157a(29) =90883