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

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =8a(6) =17a(7) =39a(8) =89a(9) =210a(10) =498a(11) =1185a(12) =2813a(13) =6664a(14) =15707a(15) =36886a(16) =86259a(17) =201003a(18) =466788a(19) =1080825a(20) =2495565a(21) =5747664a(22) =13206253a(23) =30276788a(24) =69267205a(25) =158155198a(26) =360422113a(27) =819873747a(28) =1861732042a(29) =4220347570