Floor-Sqrt transform of central binomial coefficients (A000984).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =8a(5) =15a(6) =30a(7) =58a(8) =113a(9) =220a(10) =429a(11) =839a(12) =1644a(13) =3224a(14) =6333a(15) =12454a(16) =24516a(17) =48307a(18) =95263a(19) =188003a(20) =371276a(21) =733660a(22) =1450551a(23) =2869395a(24) =5678697a(25) =11243247a(26) =22269228a(27) =44124136a(28) =87456792a(29) =173399153