Number of leaf-balanced rooted plane trees with n nodes.

Terms

a(0) =1a(1) =1a(2) =2a(3) =5a(4) =12a(5) =27a(6) =59a(7) =128a(8) =277a(9) =597a(10) =1280a(11) =2730a(12) =5794a(13) =12248a(14) =25836a(15) =54508a(16) =115222a(17) =244144a(18) =518104a(19) =1099499a(20) =2330326a(21) =4930089a(22) =10415135a(23) =21992400a(24) =46470911a(25) =98353146a(26) =208580686a(27) =443186181a(28) =942988423a(29) =2007981801