Number of n-node rooted trees with a forbidden limb of length 9.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =20a(6) =48a(7) =115a(8) =286a(9) =718a(10) =1840a(11) =4761a(12) =12473a(13) =32938a(14) =87716a(15) =235119a(16) =634120a(17) =1719126a(18) =4682962a(19) =12810093a(20) =35176103a(21) =96925151a(22) =267912108a(23) =742665338a(24) =2064139687a(25) =5750927832a(26) =16058703976a(27) =44935017987a(28) =125978892299a(29) =353827590946