Number of equicolorable (unrooted) trees on 2n nodes.

Terms

a(0) =1a(1) =1a(2) =3a(3) =9a(4) =37a(5) =168a(6) =895a(7) =5097a(8) =30983a(9) =196096a(10) =1283552a(11) =8621364a(12) =59176966a(13) =413613891a(14) =2936303012a(15) =21128390679a(16) =153841228779