Number of rooted trees with n nodes in which all positive outdegrees are the same.

Terms

a(0) =1a(1) =1a(2) =2a(3) =2a(4) =3a(5) =2a(6) =5a(7) =2a(8) =6a(9) =4a(10) =9a(11) =2a(12) =20a(13) =2a(14) =26a(15) =12a(16) =53a(17) =2a(18) =120a(19) =2a(20) =223a(21) =43a(22) =454a(23) =2a(24) =1100a(25) =11a(26) =2182a(27) =215a(28) =4902a(29) =2