Recursive programs in XCAS.

[Han]

First, please understand that non-CAS programs do not behave the same way as CAS programs. The combo set program is a non-CAS program. So commands like makelist() are actually two different commands:

In "Home" programs (i.e. non-CAS programs), upper/lower case does not matter. So makelist() is actually parsed as MAKELIST(), which is a different command from the CAS makelist(). In CAS programs, upper/lower case DOES matter.

The CAS version of makelist() is:

makelist( cas-function, var, start, end )

where cas-function is an actual function. For example, when you define a function f(x):=x^2 in the CAS view, you are actually creating the variable f whose content is the CAS-object (x)->x^2. The point here is that f(x):=x^2 is the same as f:=(x)->x^2. So it is this type of function (the right hand side being an example) that is the first argument in makelist(). In your case,

makelist( (X)->s[X], X, 1, m )

is what you would want. Notice the s[X] as opposed to s(X) -- this is to remove any ambiguity in the CAS side whether s is a function vs. an indexed object (i.e. list).