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

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =8a(7) =13a(8) =21a(9) =34a(10) =55a(11) =89a(12) =144a(13) =233a(14) =377a(15) =610a(16) =987a(17) =1597a(18) =2584a(19) =4181a(20) =6766a(21) =10948a(22) =17716a(23) =28667a(24) =46388a(25) =75063