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Floor-Sqrt transform of the binomial coefficients bin(2*n+1,n) (A001700).
0

%I #7 Jun 24 2024 22:33:10

%S 1,1,3,5,11,21,41,80,155,303,593,1162,2280,4478,8806,17336,34158,

%T 67361,132938,262532,518776,1025694,2028969,4015445,7950176,15746722,

%U 31200476,61841291,122611717,243171319,482404577,957241908,1899924792,3771806031,7489535293,14874685547

%N Floor-Sqrt transform of the binomial coefficients bin(2*n+1,n) (A001700).

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

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

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

%K nonn

%O 0,3

%A _Emanuele Munarini_, Jul 07 2011