Number of n-node rooted trees with a forbidden limb of length 10.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =20a(6) =48a(7) =115a(8) =286a(9) =719a(10) =1841a(11) =4764a(12) =12481a(13) =32960a(14) =87776a(15) =235286a(16) =634585a(17) =1720432a(18) =4686643a(19) =12820514a(20) =35205696a(21) =97009449a(22) =268152813a(23) =743354197a(24) =2066114863a(25) =5756601111a(26) =16075024226a(27) =44982031393a(28) =126114491755a(29) =354219140948