Number of rooted trees with n nodes and 5 leaves.

Terms

a(0) =1a(1) =5a(2) =21a(3) =72a(4) =214a(5) =563a(6) =1344a(7) =2958a(8) =6086a(9) =11820a(10) =21854a(11) =38713a(12) =66069a(13) =109109a(14) =175019a(15) =273540a(16) =417672a(17) =624472a(18) =916038a(19) =1320609a(20) =1873896a(21) =2620552a(22) =3615923a(23) =4927965a(24) =6639493a(25) =8850628a(26) =11681631a(27) =15275970a(28) =19803834a(29) =25465914