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Floor-Sqrt transform of the binomial coefficients bin(3*n,n) (A005809).
0

%I #4 Mar 30 2012 18:55:30

%S 1,1,3,9,22,54,136,340,857,2164,5481,13911,35379,90124,229913,587254,

%T 1501615,3843314,9845118,25238541,64744455,166190960,426829202,

%U 1096784835,2819620836,7251796132,18658280277,48023738374,123648031266,318460151301,820446813941

%N Floor-Sqrt transform of the binomial coefficients bin(3*n,n) (A005809).

%F a(n) = floor(sqrt(binomial(3*n,n))).

%t Table[Floor[Sqrt[Binomial[3n,n]]],{n,0,100}]

%o (Maxima) makelist(floor(sqrt(binomial(3*n,n))),n,0,24);

%K nonn

%O 0,3

%A _Emanuele Munarini_, Jul 07 2011