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: 5, 12, ['4439', 'P', 'e', '4929', '2085', 'w', 'C', '5385', '6517', 'w', '6257', '9721']
Example Output: 29965

Example Input: 1, 2, ['8171', 'B', '5437', 'C']
Example Output:
8171