A192633 - OEIS

%I #13 Jun 25 2022 00:41:59

%S 1,2,3,5,8,14,25,45,82,151,280,522,978,1839,3474,6587,12533,23919,

%T 45773,87811,168830,325246,627706,1213418,2349157,4554139,8839854,

%U 17178532,33418850,65077059,126842635,247443779,483100446,943899893,1845533988,3610834385,7069128528,13847830787

%N Partial sums of the Floor-Sqrt transform of Catalan numbers.

%F a(n) = sum(floor(sqrt(binomial(2*k,k)/(k+1))),k=0..n).

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

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

%Y Partial sums of A186546.

%K nonn

%O 0,2

%A _Emanuele Munarini_, Jul 07 2011