Number of equicolorable rooted trees on 2n nodes.

Terms

a(0) =1a(1) =2a(2) =9a(3) =44a(4) =249a(5) =1506a(6) =9687a(7) =64803a(8) =447666a(9) =3169566a(10) =22897260a(11) =168168164a(12) =1252391041a(13) =9437809359a(14) =71850420813a(15) =551876468717