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.

Example Input: 5, 9, ['6337', 'o', '5881', 'w', 'R', 'M', 'z', 'y', 'W']
Example Output: 0

Example Input: 16, 22, ['F', '197', '9799', 'W', '9967', 'V', '9955', '5143', 't', 'f', '749', 'N', 'b', '8049', 'W', '6835', '8007', 'm', '7233', 'B', 'I', '599', '6101', 'G', 'i', '2271', 'h', 'P']
Example Output: 22674

Example Input: 5, 22, ['t', '8483', '8799', 'W', 'l', '2567', '2787', 'L', 'G', 'T', '5765', '5029', '8059', '8505', '6905', 'Z', '8153', 'e', 'K', '3529', 'g', '2667', '6629', 'O']
Example Output:
53966