Number of rooted trees with n vertices in which vertices at the same level have the same degree.

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =5a(5) =6a(6) =10a(7) =11a(8) =16a(9) =19a(10) =26a(11) =27a(12) =40a(13) =41a(14) =53a(15) =61a(16) =77a(17) =78a(18) =104a(19) =105a(20) =134a(21) =147a(22) =175a(23) =176a(24) =227a(25) =233a(26) =275a(27) =294a(28) =350a(29) =351