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, 6, ['3087', '7917', 'M', '4557', '4409', 'N', '1843', 's', '1883', 'L', '315', '9983', 'n', 'H', 't', '4419']
Example Output: 4409

Example Input: 5, 16, ['t', 'r', 'O', 'q', 'B', '6327', 'f', 'R', 'H', '4429', 'o', '5347', 'U', 'h', '7067', '237', 'i', 'k', 'K', '461', 'L', '4105', 'i', '6483']
Example Output: 23407

Example Input: 3, 4, ['2977', 'i', 'l', 'r', '8835', '7697', 'p', '1685', 'h', 'N', 'Z', '8661', '6003', '7007', 'D', 'C']
Example Output:
0