def countocurrences(numbers, minlength=0):
    """Takes a list of integers numbers, in the range of 0..n and returns
    a list of integers where i-th item is the number of times i appears in types.

    If minlength is specified and n+1 < minlength, the returned list is right-padded
    with zeroes to make it contain minlength items.

    Examples:
    >>> counttypes([0,3,1,2,1,1,3,5])
    [1,3,1,2,0,1]
    >>> counttypes([0,3,1,2,1,1,3,5], 10)
    [1,3,1,2,0,1,0,0,0,0]
    """
    # TODO come up with a better name
    counts = [0] * max(max(numbers)+1, minlength)
    for x in numbers:
        counts[x] += 1
    return counts