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: 4, 12, ['E', '6343', 'f', '541', '7361', '9993', 'g', '3185', 's', 'w', 'Q', 'I', 'e', 's']
Example Output: 21080

Example Input: 1, 15, ['p', 'N', '7935', '1649', '1509', 'N', 'q', 'L', '1917', '9753', 'C', '6387', '4037', 'D', '1099', '5329', '1703', '7715', 'c']
Example Output: 34286

Example Input: 14, 16, ['r', 'f', 'k', '6217', 'F', '4595', 'A', 'O', '3351', 'h', '1277', '6099', 'Q', 'u', 'D', 'p']
Example Output:
0