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, 8, ['3017', '2471', 'r', 'M', '8213', '4259', '8397', 'A', '9809', '5827', '4079', 'v', '6735', 'T', 'n', '3877', '9777', '1395', '9631']
Example Output: 20869

Example Input: 4, 6, ['4301', 'a', 'E', '3709', '5105', 'B']
Example Output: 8814

Example Input: 2, 6, ['3961', 'M', 'v', 'E', 'o', 'Z', '2425', '9217', '691', '349', '5945', '5839', '8931', '9331', '485', 'm', '6987', '7947', '6973', 'R']
Example Output:
0