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 A192652 Convolution of the Floor-Sqrt transform of Catalan numbers. 0

%I #11 Jul 07 2024 15:54:46

%S 1,2,3,6,11,22,44,86,169,332,652,1280,2513,4932,9688,19040,37439,

%T 73658,144985,285530,562589,1108994,2187050,4314894,8516372,16815264,

%U 33213075,65624052,129705457,256441194,507160201,1003284894,1985269126,3929390078,7779228124,15404540776

%N Convolution of the Floor-Sqrt transform of Catalan numbers.

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

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

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

%K nonn

%O 0,2

%A _Emanuele Munarini_, Jul 07 2011

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Last modified September 16 12:57 EDT 2024. Contains 375976 sequences. (Running on oeis4.)