RecurrenceTable[] , . , , , . , .
,
logisticMap[r_,x0_,maxn_]:=RecurrenceTable[{x[n+1]==r x[n](1-x[n]),x[0]==x0},x,{n,0,nmax}];
Manipulate[ListPlot[Transpose[{Range[0,maxn],logisticMap[r,x0,maxn]}],PlotRange->{0,1}],{{r,3.485},0,4},{{x0,0.432},0,1},{{maxn,500},10,1000,1}]

RecurrenceTable .