Number of integers in n-th generation of tree T(-3/2) defined in Comments.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =2a(5) =4a(6) =5a(7) =8a(8) =12a(9) =18a(10) =27a(11) =41a(12) =60a(13) =92a(14) =134a(15) =206a(16) =305a(17) =463a(18) =694a(19) =1041a(20) =1561a(21) =2344a(22) =3506a(23) =5279a(24) =7903a(25) =11877a(26) =17823a(27) =26689a(28) =40100a(29) =60041