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Floor-Sqrt transform of little Schroeder numbers (A001003).
0

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

%S 1,1,1,3,6,14,30,65,144,321,720,1626,3694,8428,19305,44371,102291,

%T 236450,547868,1272148,2959613,6897450,16100184,37635909,88095027,

%U 206458158,484399704,1137707979,2674734202,6293966627,14823002101,34937537185,82408390392,194515481823

%N Floor-Sqrt transform of little Schroeder numbers (A001003).

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

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

%t FSFromSeries[(1+x-Sqrt[1-6x+x^2])/(4x),x,100]

%K nonn

%O 0,4

%A _Emanuele Munarini_, Jul 07 2011