A functional count in Python

Today I was sifting through the documentation for itertools.count

Return a count object whose .next() method returns consecutive values. Equivalent to:

def count(firstval=0, step=1):
    x = firstval
    while 1:
        yield x
        x += step

Since itertools is supposed to provide you with better tools to write functional Python code, I thought it was odd that they have an example with x += step, redefining the x variable with every new invocation (although, to their defense, they only say that it is equivalent to the provided definition.

I sat therefore down wanting to create a “functional” version of it. Here’s what I came up with (Python 3.4 required)

def _count(first, step):
    while 1:
        yield first
        yield from count(first + step, step)