Number of binary rooted trees with n nodes and height at most 7.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =6a(6) =11a(7) =23a(8) =45a(9) =90a(10) =171a(11) =325a(12) =598a(13) =1097a(14) =1972a(15) =3531a(16) =6225a(17) =10915a(18) =18898a(19) =32507a(20) =55302a(21) =93410a(22) =156208a(23) =259250a(24) =426227a(25) =695235a(26) =1123742a(27) =1801614a(28) =2862591a(29) =4510432