Number of ternary rooted trees with n nodes and height at most 5.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =8a(6) =16a(7) =33a(8) =63a(9) =121a(10) =225a(11) =415a(12) =749a(13) =1344a(14) =2365a(15) =4129a(16) =7106a(17) =12104a(18) =20354a(19) =33883a(20) =55706a(21) =90628a(22) =145729a(23) =231801a(24) =364555a(25) =567206a(26) =872727a(27) =1328545a(28) =2000536a(29) =2980554