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: 2, 7, ['3295', '2909', '8081', '8299', '8979', 'J', 'V', 'r', '2403', '5589', '6875', '9181', '6547', 'k', 'n']
Example Output: 28268

Example Input: 4, 6, ['c', 'I', 'O', 'q', 'W', 'w', '7245', '4329', '3833', 'v', 'p', 'V', '5311', 'x', '3971', 't', '8157', '1803']
Example Output: 0

Example Input: 1, 2, ['2911', 'P']
Example Output:
2911