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Floor-Sqrt transform of Motzkin numbers (A001006).
0

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

%S 1,1,1,2,3,4,7,11,17,28,46,76,124,204,337,557,923,1535,2556,4266,7131,

%T 11939,20019,33611,56504,95096,160218,270199,456095,770547,1302837,

%U 2204486,3732769,6324750,10723278,18191510,30878276,52440601,89104745,151475242,257620263,438335394,746126537

%N Floor-Sqrt transform of Motzkin numbers (A001006).

%F a(n) = floor(sqrt(Motzkin(n))).

%t FSFromSeries[f_,x_,n_] := Map[Floor[Sqrt[#]]&,CoefficientList[Series[f,{x,0,n}],x]]

%t FSFromSeries[(1-x-Sqrt[1-2x-3x^2])/(2x^2),x,100]

%K nonn

%O 0,4

%A _Emanuele Munarini_, Jul 07 2011