Number of asymmetric (identity) trees with n nodes and 5 leaves.

Terms

a(0) =3a(1) =10a(2) =29a(3) =65a(4) =135a(5) =252a(6) =445a(7) =739a(8) =1184a(9) =1821a(10) =2726a(11) =3963a(12) =5643a(13) =7861a(14) =10770a(15) =14504a(16) =19269a(17) =25248a(18) =32710a(19) =41896a(20) =53152a(21) =66788a(22) =83238a(23) =102895a(24) =126295a(25) =153927a(26) =186443a(27) =224442a(28) =268710a(29) =319971