Number of ordered rooted trees with n edges having root of odd degree.

Terms

a(0) =1a(1) =1a(2) =3a(3) =8a(4) =24a(5) =75a(6) =243a(7) =808a(8) =2742a(9) =9458a(10) =33062a(11) =116868a(12) =417022a(13) =1500159a(14) =5434563a(15) =19808976a(16) =72596742a(17) =267343374a(18) =988779258a(19) =3671302176a(20) =13679542632a(21) =51134644014a(22) =191703766638a(23) =720629997168