Floor-Sqrt transform of large Schroder numbers (A006318).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =9a(5) =19a(6) =42a(7) =92a(8) =203a(9) =453a(10) =1018a(11) =2300a(12) =5224a(13) =11919a(14) =27301a(15) =62750a(16) =144662a(17) =334392a(18) =774802a(19) =1799089a(20) =4185524a(21) =9754468a(22) =22769099a(23) =53225213a(24) =124585182a(25) =291975928a(26) =685044632a(27) =1608962053a(28) =3782645385a(29) =8901012965