Floor-Sqrt transform of involution numbers (A000085).

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =3a(5) =5a(6) =8a(7) =15a(8) =27a(9) =51a(10) =97a(11) =188a(12) =374a(13) =753a(14) =1546a(15) =3217a(16) =6797a(17) =14553a(18) =31580a(19) =69352a(20) =154138a(21) =346341a(22) =786692a(23) =1804949a(24) =4182366a(25) =9781638a(26) =23086472a(27) =54960683a(28) =131951799a(29) =319359086