Number of rooted highly irregular trees with n nodes.

Terms

a(0) =1a(1) =1a(2) =0a(3) =2a(4) =0a(5) =0a(6) =0a(7) =4a(8) =9a(9) =5a(10) =0a(11) =0a(12) =0a(13) =7a(14) =15a(15) =16a(16) =34a(17) =72a(18) =133a(19) =250a(20) =399a(21) =572a(22) =828a(23) =1176a(24) =1700a(25) =2509a(26) =3456a(27) =4494a(28) =5887a(29) =7980