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: 8, 26, ['n', '9063', 'c', 'k', '7515', 'm', '2261', '4297', '9817', '7599', '1669', 'l', '9837', '3021', 'Q', '3991', 'r', 'B', '8615', 'J', '5641', '7637', '469', '3571', '2265', '3969']
Example Output: 72398

Example Input: 1, 2, ['9769', 'z', '6349', 't', '9391', '7181', '2405', 'j']
Example Output: 9769

Example Input: 3, 3, ['q', '2297', 'Q', '659']
Example Output:
0