n=4

> n:=4;
RHS:=Product(x^(2^i)+1,i=0..n);
RHS:=value(%);
RHS_Expansion:=sort(expand(%));
LHS:=Sum(x^i,i=0..2^(n+1)-1);
LHS:=sort(value(%));
LHS_Factor:=factor(%);

[Maple Math]

[Maple Math]

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