Number of unlabeled balanced rooted semi-identity trees with 2n-1 nodes and depth n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =8a(7) =14a(8) =22a(9) =36a(10) =59a(11) =96a(12) =156a(13) =253a(14) =410a(15) =666a(16) =1078a(17) =1744a(18) =2824a(19) =4569a(20) =7386a(21) =11942a(22) =19302a(23) =31188a(24) =50380a(25) =81376a(26) =131403a(27) =212166a(28) =342492a(29) =552811