Number of binary rooted trees with n nodes and height exactly 8.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =1a(9) =7a(10) =27a(11) =81a(12) =213a(13) =516a(14) =1183a(15) =2610a(16) =5597a(17) =11737a(18) =24154a(19) =48934a(20) =97729a(21) =192777a(22) =375859a(23) =725259a(24) =1385706a(25) =2623894a(26) =4925791a(27) =9173476a(28) =16952955a(29) =31103472