Definition: In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
Input: 17, 18, ['723', 'Y', '3101', 'c', '6859', '4071', 'g', 'r', '7627', '5645', 'U', 'A', '9641', '4263', '7759', '8795', 'i', '4729', 'r', 'U', 'D', 'P']

4729