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: 2, 16, ['2169', 'o', 'D', '8877', '3351', 'p', 'X', '1143', '9633', 'f', '2507', 'S', '5541', 'B', '4543', 'A', 'f']
Example Output: 35595

Example Input: 16, 16, ['V', '9929', 'S', 'g', '1751', 'd', 'G', 't', '9289', '6139', 'J', 'T', 'W', '8085', '7747', 'j', '5657', '8875']
Example Output: 0

Example Input: 2, 5, ['X', 'M', 'J', 'F', '3889', 'm', 'K', '8851']
Example Output:
3889