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) =6a(7) =8a(8) =12a(9) =18a(10) =28a(11) =42a(12) =62a(13) =96a(14) =142a(15) =210a(16) =316a(17) =474a(18) =712a(19) =1070a(20) =1606a(21) =2410a(22) =3608a(23) =5412a(24) =8124a(25) =12184a(26) =18268a(27) =27404a(28) =41114a(29) =61662