Number of rooted unlabeled trees on n nodes where each node has at most 8 children.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =9a(6) =20a(7) =48a(8) =115a(9) =286a(10) =718a(11) =1839a(12) =4757a(13) =12460a(14) =32897a(15) =87592a(16) =234746a(17) =633013a(18) =1715851a(19) =4673320a(20) =12781759a(21) =35093010a(22) =96681705a(23) =267199518a(24) =740580555a(25) =2058042803a(26) =5733101603a(27) =16006590851a(28) =44782679547a(29) =125533577578