Number of strict trees of weight n with odd leaves.

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =1a(5) =2a(6) =2a(7) =4a(8) =7a(9) =14a(10) =24a(11) =46a(12) =92a(13) =186a(14) =368a(15) =750a(16) =1529a(17) =3160a(18) =6510a(19) =13590a(20) =28374a(21) =59780a(22) =125732a(23) =266468a(24) =564188a(25) =1202842a(26) =2560106a(27) =5484304a(28) =11732400a(29) =25229068