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: 1, 15, ['9611', 'm', '8001', '7451', 'O', '753', 'F', 'F', '3017', '8265', 'j', '5753', 'B', 'Q', '4079', 'k', 'N', '5197', '3885', '3193']
Example Output: 46930

Example Input: 14, 17, ['Q', '7681', '8379', '2569', 'D', '5179', 'M', 'M', 'k', '187', '9275', 'V', 'L', 'F', '6397', '6385', 'O', '4823', '8655']
Example Output: 12782

Example Input: 3, 9, ['4049', 'n', 'b', 'G', '5353', '1523', 'R', '2643', 'N', 'U']
Example Output:
9519