Number of rooted trees with n nodes with every leaf at height 5.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =6a(5) =9a(6) =16a(7) =26a(8) =44a(9) =73a(10) =123a(11) =203a(12) =340a(13) =563a(14) =935a(15) =1550a(16) =2571a(17) =4251a(18) =7034a(19) =11618a(20) =19188a(21) =31654a(22) =52201a(23) =85999a(24) =141631a(25) =233074a(26) =383375a(27) =630215a(28) =1035508a(29) =1700501