A192656 - OEIS

%I #9 Jun 25 2022 03:35:19

%S 1,2,4,8,16,31,61,119,232,452,881,1720,3364,6588,12921,25375,49891,

%T 98198,193461,381464,752740,1486400,2936951,5806346,11485043,22728290,

%U 44997518,89121654,176578446,349977599,693873777,1376096873,2729841361,5416740769,10750880013,21342682400

%N Partial sums of the Floor-Sqrt transform of central binomial coefficients.

%F a(n) = Sum_{k=0..n} floor(sqrt(binomial(2*k,k))).

%t Table[Sum[Floor[Sqrt[Binomial[2k,k]]],{k,0,n}],{n,0,100}]

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

%Y Partial sums of A192655.

%K nonn

%O 0,2

%A _Emanuele Munarini_, Jul 07 2011