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: 6, 27, ['O', '4985', '525', 'U', 'B', '4689', 'u', '2891', 'A', 'O', 'u', 'T', 'Z', '81', '9747', 'O', '2135', 'U', '8637', '3927', 'X', 'z', 'W', 'h', '6347', 'L', 'c', 'H', 'q']
Example Output: 38454

Example Input: 19, 19, ['4147', '1103', '5749', 'c', '5103', '3491', '4511', '197', 'T', '1601', 'J', 'c', '1309', 'a', '607', 'p', 'C', '9473', '5221', 'D', 'U', 'O', '5013']
Example Output: 5221

Example Input: 2, 3, ['8337', '6007', '4699', 'X']
Example Output:
10706