%I #11 Feb 26 2019 23:06:25
%S 1,1,1,3,8,22,63,193,627,2143,7677,28706,111669,450529,1880164,
%T 8097765,35922614,163849371,767224522,3682984346,18102428784,
%U 91000840873,467393250911,2450438244585,13102651355735,71398380128514,396202573696587
%N Floor-sqrt transform of Lah partition numbers (A000262).
%F a(n) = floor(sqrt(A000262(n))).
%p A000262 := proc(n) option remember: if n=0 then RETURN(1) fi: if n=1 then RETURN(1) fi: (2*n-1)*procname(n-1) - (n-1)*(n-2)*procname(n-2) end proc:
%p A192681 := proc(n) floor(sqrt(A000262(n))) ; end proc: # _R. J. Mathar_, Jul 13 2011
%t FSFromExpSeries[f_,x_,n_] := Map[Floor[Sqrt[#]]&,CoefficientList[Series[f,{x,0,n}],x]Table[k!,{k,0,n}]]
%t FSFromExpSeries[Exp[x/(1-x)],x,60]
%K nonn
%O 0,4
%A _Emanuele Munarini_, Jul 07 2011
%E All terms replaced by _R. J. Mathar_, Jul 13 2011