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, 2, ['X', '6095', '5959', '4481', '5997', '3307', 'B']
Example Output: 6095

Example Input: 2, 2, ['8149', '7123', 'c', 'X', '1659']
Example Output: 7123

Example Input: 1, 2, ['X', 'f', '9969', '8713', '669']
Example Output:
0