This is merely a beginner's problem
When you define a variable for Manipulate it accepts a different name (eg. $471 etc.)
Whenever you try to generate such a name (using do, Table, Array etc.) (rather than write it explicitly) the generation works but not with the local name.
So
Manipulate[
Array[n, 5],
Evaluate[Sequence @@ Array[{{n[#], 1}, 0, 5} &, 5]]]
will display (rightfully)
{n[1],n[2],n[3],n[4],n[5]}
to enforce the evaluation of these "generated variables" you need to use Evaluate[ ]
Manipulate[
Evaluate[(Array[n, 5])],
Evaluate[Sequence @@ Array[{{n[#], 1}, 0, 5} &, 5]]]
However, this does not solve the second issue of assigning the value to the vector. I checked all the possibilities that I'm aware of. This happens since the assignment is applied immediately, therefore the right hand side of the assignment is not getting the values of n[1],,, (unless of course, u
you use the names of the variables explicitly, and then you do not have a problem in the first place...)
If I'll find a way , I'll publish it later