Number of strict trees of weight 2n + 1 in which all outdegrees and all leaves are odd.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =4a(7) =6a(8) =11a(9) =17a(10) =34a(11) =59a(12) =118a(13) =213a(14) =424a(15) =799a(16) =1606a(17) =3072a(18) =6216a(19) =12172a(20) =24650a(21) =48710a(22) =99333a(23) =198237a(24) =405526a(25) =815267a(26) =1673127a(27) =3387165a(28) =6974702a(29) =14179418