n=9

> n:=9;
RHS:=Product(x^(2^i)+1,i=0..n);
RHS:=value(%);
LHS:=Sum(x^i,i=0..2^(n+1)-1);
LHS_RHS:=normal(expand(value(LHS-RHS)));

[Maple Math]

[Maple Math]

[Maple Math]
[Maple Math]

[Maple Math]

[Maple Math]