Number of iterations of z -> z^2 + 1/4 + 1/2^n until z > 2, starting with z = 0.

Terms

a(0) =2a(1) =3a(2) =5a(3) =7a(4) =11a(5) =16a(6) =23a(7) =34a(8) =48a(9) =69a(10) =99a(11) =140a(12) =199a(13) =282a(14) =400a(15) =567a(16) =802a(17) =1135a(18) =1607a(19) =2273a(20) =3215a(21) =4548a(22) =6432a(23) =9097a(24) =12866a(25) =18196a(26) =25734a(27) =36394a(28) =51470a(29) =72790