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, 14, ['T', 'y', 'L', 'l', '5307', 'j', '2235', '9617', 'e', '7687', 't', '4357', '1745', 'X', '8485', 'a', '1387', '1351', '6437', 'u']
Example Output: 30948

Example Input: 1, 3, ['m', '6287', '41', 'W', '9113', 'P', 'w', 'H', '1651', '8837', '1907', 'e', 'N', 'q', 'j', 'd', 'c', '2459', '6635']
Example Output: 6328

Example Input: 2, 9, ['D', 'd', 'l', '5623', 'b', '6419', 'H', 'q', 'R', 'r', 'W', 'q']
Example Output:
12042