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: 7, 16, ['l', '1165', '8087', 'M', '6269', '6349', 'R', 'm', 'j', '9437', '3875', 'n', 'R', 'Y', '4427', 'g', '6231', 'm', '1139', '3891', '3773', '1303', 'Y', '7347']
Example Output: 17739

Example Input: 8, 13, ['6413', 'n', 'z', 'T', 'R', 'Y', 'D', 'W', 'L', '521', '3411', 'B', 'O', '6757']
Example Output: 3932

Example Input: 2, 10, ['3771', 'f', 'k', 'u', '5617', '2039', '1779', 'a', 'A', '4553', '2683', 'm', '6415']
Example Output:
13988