Generating a list of symbolic coefficients [duplicate]

Question

I am trying to do something which I assume should be very simple: I want to generate a list with symbolic coefficients that looks like this:

A = {a0, a1, a2, a3, ... , a20};

And I mean to do this a lot up to an arbitrary number, so I wouldn't want to type them all. So of course when I set one of them, say a1 = 5, then it should be updated in the list, so now:

A = {a0, 5, a2, a3, ... , a20};

I might just be missing an obvious Mathematica command here that does this... Is there a way to do such a thing?

Answer 1

Depending on the problem you are having, it is maybe enough when you create a list of {a[0], a[1], a[2], a[3], ...}. This can be done with

Array[a, 10]

or, if you like Table

Table[a[i], {i, 10}]

If you really want to create an where n is a number, then you can use Symbol to convert a string to a symbol

Table[Symbol["a" <> ToString[i]], {i, 10}]

or, if you want definitely unassigned variables and you don't care which numbers they get

Table[Unique["a"], {10}]