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: 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: 3, 16, ['1661', '2609', '7987', '619', '6765', '5249', '1377', '8971', 'J', 'o', '4803', 'O', '699', '4415', 'V', '1813', 'j', 'm', 'L']
Example Output: 42698

Example Input: 1, 2, ['7235', 'F', '6575']
Example Output:
7235