Number of rooted identity trees on n nodes with thinning limbs.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =4a(6) =6a(7) =11a(8) =17a(9) =32a(10) =56a(11) =102a(12) =184a(13) =340a(14) =624a(15) =1161a(16) =2156a(17) =4036a(18) =7562a(19) =14234a(20) =26828a(21) =50747a(22) =96125a(23) =182545a(24) =347187a(25) =661618a(26) =1262583a(27) =2413275a(28) =4618571a(29) =8850905