6.3.2  Creating a list by using a function

The makelist command creates lists built from values of a function.

• makelist takes three mandatory arguments and one optional argument:
  • f, a function (see Section 8.2.1).
  • a and b, two real numbers.
  • Optionally p, a step size (by default 1 if b>a and −1 if b < a).
• makelist(f,a,b ⟨,p⟩) returns the list [f(a),f(a+p),…,f(a+k p)] with k such that

  a<a+k p ≤ b <a+(k+1) p  or   a>a+k p ≥ b >a+(k+1) p.

Examples

(In these examples, purge x if x is not symbolic.)

or:

or:

The above command line regards 4 as the constant function, and so creates a list with entries 4, from integers 1 to 3. The command

is an equivalent.