%I #11 Mar 30 2012 18:55:29

%S 1,1,1,2,3,6,11,20,37,69,129,242,456,861,1635,3113,5946,11386,21854,

%T 42038,81019,156416,302460,585712,1135739,2204982,4285715,8338678,

%U 16240318,31658209,61765576,120601144,235656667,460799447,901634095,1765300397,3458294143,6778702259

%N Floor-Sqrt transform of Catalan numbers (A000108).

%H Vincenzo Librandi, <a href="/A186546/b186546.txt">Table of n, a(n) for n = 0..89</a>

%F a(n) = floor(sqrt(binomial(2*n,n)/(n+1)))

%t Table[Floor[Sqrt[Binomial[2n,n]/(n+1)]],{n,0,100}]

%o (Maxima) makelist(floor(sqrt(binomial(2*n,n)/(n+1))),n,0,24);

%K nonn

%O 0,4

%A _Emanuele Munarini_, Jul 07 2011