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, 18, ['T', '7117', '7067', 't', '7083', '5711', '6735', 's', '4879', '2553', 'a', 'z', 'Q', '4759', '6243', 'k', 'V', '7803', '2489', 'j', '9449', '8017', '9739', 'F', '1557']
Example Output: 45766

Example Input: 12, 20, ['V', 'H', '5509', 'J', '887', '6361', '4273', '1017', '5167', 'G', 'g', '5185', '2617', 'h', 'Y', '7697', '5075', 'F', '2675', '29', 'K', '2081', 'R', '7011']
Example Output: 23278

Example Input: 20, 21, ['F', 'v', '5313', '7339', 'i', '6861', '5163', '6371', '5193', '6379', 'P', 'P', '2383', '9593', '2457', '1969', 'r', '3651', '6961', 'S', 'N', 'E', 's', '7509']
Example Output:
0