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: 3, 20, ['u', '5631', '6297', 's', '5839', 'l', '6967', '4097', '4643', '9645', 'q', 'i', '2963', 'R', '9539', 'j', 'M', '5607', '2651', '907', 'z', 'C', 'O']
Example Output: 59155

Example Input: 7, 10, ['3903', '215', 's', '8881', 's', 'f', 'p', '9071', '4963', '9011', '2605', '1617']
Example Output:
23045