Number of n-node rooted trees of height at most 9.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =9a(6) =20a(7) =48a(8) =115a(9) =286a(10) =719a(11) =1841a(12) =4755a(13) =12410a(14) =32558a(15) =85849a(16) =226980a(17) =601373a(18) =1594870a(19) =4232100a(20) =11230771a(21) =29798539a(22) =79034638a(23) =209526631a(24) =555172356a(25) =1470195001a(26) =3891131705a(27) =10292857772a(28) =27212082536a(29) =71905725130