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: 9, 9, ['G', '9137', 'G', '2393', '9383', 'r', '6897', '547', 'W', 'h', 'p', '4557']
Example Output: 0

Example Input: 16, 17, ['5985', '1925', 'r', 'H', 'p', 'L', '5019', 'y', 'O', '6575', '9729', 'S', '2497', '43', 'u', '317', 'p', '3043', '3247', 'z', 'O', '8379', '7715', '8399']
Example Output: 317

Example Input: 6, 11, ['U', 'h', '3893', 'w', '8029', '783', '5737', 'J', 'P', 'N', 'p', 'L', 'i', '4727', '2341']
Example Output:
6520