Number of integers in n-th generation of tree T(-3/4) defined in Comments.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =2a(6) =2a(7) =2a(8) =2a(9) =4a(10) =5a(11) =6a(12) =8a(13) =11a(14) =14a(15) =17a(16) =20a(17) =26a(18) =36a(19) =45a(20) =56a(21) =74a(22) =96a(23) =120a(24) =150a(25) =191a(26) =245a(27) =318a(28) =405a(29) =517