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, 4, ['2227', '1525', 'g', 'l', 'R']
Example Output: 0

Example Input: 8, 9, ['1329', '3107', 's', 'z', '2013', '1633', 'i', '1229', '4201', 'M', '3127']
Example Output: 5430

Example Input: 4, 5, ['G', '7809', '513', 'i', '205']
Example Output:
205