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: 3, 5, ['6621', 'A', '3201', '9737', '7957', 'v', 'x', 'q', 'b', 'X', 'v', 'B', 'h', '3985', 'M', '3037', 'V']
Example Output: 20895

Example Input: 1, 7, ['J', 'l', '9145', '5805', '4377', '2851', '8781', '7353', '145']
Example Output: 30959

Example Input: 5, 13, ['8179', '2435', 'w', '6965', '2003', 'c', '2091', 'w', '225', 's', 'k', '4281', '1931', '3351', 'o', 'f', 'Y', 'm', '8223', 'X', 'H', 'X']
Example Output:
10531