Number of centered trees with n nodes.

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =1a(5) =2a(6) =3a(7) =7a(8) =12a(9) =27a(10) =55a(11) =127a(12) =284a(13) =682a(14) =1618a(15) =3979a(16) =9823a(17) =24722a(18) =62651a(19) =160744a(20) =415146a(21) =1081107a(22) =2831730a(23) =7462542a(24) =19764010a(25) =52599053a(26) =140580206a(27) =377244482a(28) =1016022191a(29) =2745783463