How to create a list of a range with incremental step?

Question

I know that it is possible to create a list of a range of numbers:

list(range(0,20,1))
output: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]

but what I want to do is to increment the step on each iteration:

list(range(0,20,1+incremental value)

p.e. when incremental = +1

expected output: [0, 1, 3, 6, 10, 15]  

Is this possible in python?

Answer 1

This is possible, but not with range:

def range_inc(start, stop, step, inc):
    i = start
    while i < stop:
        yield i
        i += step
        step += inc

Answer 2

You can do something like this:

def incremental_range(start, stop, step, inc):
    value = start
    while value < stop:
        yield value
        value += step
        step += inc

list(incremental_range(0, 20, 1, 1))
[0, 1, 3, 6, 10, 15]

Answer 3

Even though this has already been answered, I found that list comprehension made this super easy. I needed the same result as the OP, but in increments of 24, starting at -7 and going to 7.

lc = [n*24 for n in range(-7, 8)]